Research

1970

1. Note on a functional equation, Aeq. Math. 4, 353-357.

1973

2. Sylow subgroups of transitive permutation groups, Math. Zeit.134, 179-180. doi: 10.1007/BF01214090

1974

3. On the Sylow subgroups of a doubly transitive permutation group,Math. Zeit. 137, 155-171. doi: 10.1007/BF01214858

1975

4. Sylow subgroups of finite permutation groups, Proc. second international conference on the theory of groups, Canberra, 1973, Ed. M.F.Newman, Lecture Notes in Mathematics 372, Springer, Berlin, Heidelberg, New York, 578-579.
5. On the Sylow subgroups of a doubly transitive permutation group, II, Math. Zeit. 143, 131-143. DOI: 10.1007/BF01187055
6. On the Sylow subgroups of a doubly transitive permutation group, III, Bull. Austral. Math. Soc. 13, 211-240.
7. Primitive permutation groups containing a p-element of small degree, p a prime, J. Algebra 34, 540-546.

1976

8. Primitive permutation groups containing a p-element of small degree, p a prime, II, J. Algebra 42, 278-293. doi: 10.1016/0021-8693(76)90041-7
9. Note on primitive permutation groups of prime power degree, J. London Math. Soc. (2) 13, 191-192.
10. On the fixed points of Sylow subgroups of transitive permutation groups (with Marcel Herzog), J. Austral. Math. Soc. 21, 428-437.
11. Minimal degree of primitive permutation groups (with Marcel Herzog), in Combinatorial Mathematics IV, Adelaide 1975, Ed. L.R.A.Casse and W.D.Wallis, Lecture Notes in Mathematics 560, Springer, Berlin, Heidelberg, New York, 116-122.
12. Doubly transitive permutation groups involving the one- dimensional projective special linear group, Bull. Austral. Math. Soc. 14, 349-358.
13. On the order of linear groups of fixed finite exponent (with Marcel Herzog), J. Algebra 43, 216-220.

1977

14. Sylow subgroups of transitive permutation groups, II, J. Austral. Math. Soc. 23, 329-332.
15. Doubly transitive permutation groups which are not doubly primitive , J. Algebra 44, 389-395.
16. Doubly transitive permutation groups in which the one-point stabilizer is triply transitive on a set of blocks, J. Algebra 47, 433-440.
17. On partially transitive projective planes of certain Hughes' types (with A. Rahilly), in Group Theory, Canberra 1975, Ed. A. Dold and B. Eckmann, Lecture Notes in Mathematics 573, Springer, Berlin, Heidelberg, New York, 85-111.
18. On character values in finite groups (with Marcel Herzog), Bull. Austral. Math. Soc. 17, 451-461.

1978

19. On the fixed points of Sylow subgroups of transitive permutation groups, corrigendum (with Marcel Herzog), J. Austral. Math. Soc. (A)26, 383-384.
20. Doubly transitive automorphism groups of block designs, J. Combinatorial Theory (A) 25, 258-266.
21. On doubly transitive permutation groups, Bull. Austral. Math. Soc.18, 465-473.
22. On the normal structure of a one-point stabilizer in a doubly transitive permutation group (with M.D.Atkinson), J. Austral. Math. Soc. (A)25, 145-166.
23. Direct factors of Sylow groups (with Marcel Herzog), Comm. in Algebra6 (13), 1375-1382.
24. On primitive permutation groups with a doubly transitive suborbit, J. London Math. Soc. (2) 17, 67-73.
25. Elements of prime order in primitive permutation groups, in Seminar on permutation groups and related topics, Ed. T. Tsuzuku, Kyoto University, 143-150.
26. Doubly transitive but not doubly primitive permutation groups, in Seminar on permutation groups and related topics, Ed. T. Tsuzuku, Kyoto University, 151-153.

1979

27. On characters in the principal 2-block, II (with Marcel Herzog),J. Austral. Math. Soc. (A) 28, 100-106.
28. On elements of prime order in primitive permutation groups, J. Algebra60, 126-157.
29. On fixed points in paired suborbits (with Jan Saxl), Arch. der Math.33, 325.

1980

30. On the orders of primitive permutation groups (with Jan Saxl), Bull. London Math. Soc. 12, 303-307.
31. Symmetric graphs and a characterisation of the Odd graphs, in Combinatorial Mathematics VII, Ed. R. W. Robinson, G.W. Southern, and W.D.Wallis,Lecture Notes in Mathematics 829, Springer, Berlin, Heidelberg, New York, 211-219.
32. Note on primitive permutation groups and a diophantine equation (with J.D.Henstridge), Discrete Math. 31, 181-183.

1981

33. Primitive permutation groups and a characterisation of the Odd graphs, J. Combinatorial Theory (B) 31, 117-142.
34. Designs from finite groups (with Anne Penfold Street), Congressus Numerantium31, 165-185.

1982

35. Graphs and permutation groups with projective subconstituents (with P.J. Cameron), J. London Math. Soc. (2) 25, 62-74.
36. Graphs and their automorphism groups, in Algebraic Structures and their Applications, Ed. P.Schultz, C.E.Praeger, R.P.Sullivan, Lecture notes in pure and applied math. 74, Marcel Dekker, New York, 21-32.
37. When are symmetric graphs characterized by their local properties? in Combinatorics IX, Lecture Notes in Mathematics 952, Springer, Berlin, Heidelberg, New York, 123-141.

1983

38. Some remarks on the permanents of circulant (0,1) matrices (with P.Eades and J.R.Seberry), Utilitas 23, 145-159.
39. Generalized wreath products of permutation groups (with R.A.Bailey, C.A.Rowley, and T.P.Speed), Proc. London Math. Soc. (3)47, 69-82.
40. On 2-arc transitive graphs of girth 4 (with P.J.Cameron), J. Combinatorial Theory (B) 35, 1-11.
41. On the Sims' conjecture and distance transitive graphs (with P.J. Cameron, G.M. Seitz, and J. Saxl),Bull. Lond. Math. Soc. 15, 499-506.
42. On the automorphisms of rooted trees with height distributions (with P.Schultz), in Combinatorial Mathematics X, Lecture Notes in Mathematics 1036, 319-334.
43. Twills with bounded float length (with J.A.Hoskins and A.P.Street),Bull. Austral. Math. Soc. 28, 255-282.
44. Balanced twills with bounded float length, (with J.A.Hoskins and A.P.Street), Congressus Numerantium 40, 77-89.
45. Finite simple groups and finite primitive permutation groups,Bull. Austral. Math. Soc. 28, 355-366.
46. Characterization of some sparse binary sequential arrays, (with A.P.Street), Aequationes Math. 26, 54-58.

1984

47. On transitive permutation groups with a subgroup satisfying a certain conjugacy condition, J. Austral. Math. Soc. (A) 36, 69-86.
48. Symmetric graphs and the classification of the finite simple groups, in Groups Korea 1983, Lecture Notes in Mathematics 1098, Springer, Berlin, Heidelberg, New York, 99-110.

1985

49. Fixed-point-free permutations in transitive permutation groups of prime-power order, (with P.J. Cameron, L.G. Kovacs, and M.F. Newman), Quarterly J. Math. Oxford(2) 36, 273-278. doi:10.1093/qmath/36.3.273
50. Imprimitive symmetric graphs, Ars Combinatoria 19-A, 149-163.
51. Enumeration of rooted trees with a height distribution, (with P. Schultz and N.C.Wormald), Ars Combinatoria 19-A, 191-204.
52. A note on generalized wreath product groups, (with C.A.Rowley and T.P.Speed), J. Austral. Math. Soc.(A) 39, 415-420.

1986

53. Distance transitive graphs of valency six, (with A. Gardiner), Ars Combinatoria21-A, 195-210.

1987

54. Sequential binary arrays and circulant matrices, (with C.K.Nilrat), J. Austral. Math. Soc.(A) 42, 330-348.
55. Distance transitive graphs and finite simple groups, (with J.Saxl and K.Yokoyama), Proc. London Math. Soc.(3) 55, 1-21.
56. Distance transitive graphs of valency five, (with A.Gardiner), Proc. Edinburgh Math. Soc. 30, 73-82.
57. Distance transitive graphs with symmetric or alternating automorphism group (with M. W. Liebeck and J. Saxl), Bull. Austral. Math. Soc. 35, 1-26.
58. On automorphism groups of imprimitive symmetric graphs, Ars Combinatoria23A, 228-247.
59. A classification of the maximal subgroups of the finite alternating and symmetric groups, (with M.W.Liebeck and J.Saxl), J. Algebra 111, 365-383.
60. Optimal worst case trees, (with E.A. Bender and N. C. Wormald), Acta Informatica 24, 475-489.
61. On maximal subgroups and maximal factorizations of almost simple groups, (with M. W. Liebeck and J. Saxl), in Proceedings of the Arcata Conference on Representation Theory, Arcata, 1986, Proc. Symp. Pure Math. 47, 449-454.

1988

62. On the O'Nan Scott Theorem for primitive permutation groups (with M.W.Liebeck and J.Saxl), J. Austral. Math. Soc. (A) 44, 389-396.
63. On the 2-closures of primitive permutation groups, (with M.W.Liebeck and J. Saxl), J. London Math. Soc. 37, 241-252.
64. Primitive permutation groups with doubly transitive subconstituents, J. Austral. Math. Soc.(A). 45, 66-77.
65. Complete Latin squares: terraces for groups, (with C.K. Nilrat),Ars Combinatoria 25, 17-29.
66. Covering subgroups of groups and Kronecker classes of fields, J. Algebra118, 455-463..
67. On minimal faithful permutation representations of finite groups, (with D.Easdown),Bull. Austral. Math. Soc. 38 , 207-220.
68. Directed terraces for direct product groups, (with R.A.Bailey), Ars Combinatoria 25A, 73-76.
69. Inflations of graphs with large automorphism groups, Ars Combinatoria26A, 171-192.

1989

70. A characterization of a class of symmetric graphs of twice prime valency (with Ming-yao Xu), European J. Combinatorics 10, 91-102.   (announcement in  Advances in Math. 16(1987), 222-223.)
71. On octic field extensions and a problem in group theory, in Group Theory, Proceedings of the 1987 Singapore Conference, Ed. by K.N.Cheng and Y.K.Leong, de Gruyter, Berlin, New York, 443-463.
72. Finite permutation groups with large abelian quotients, (with L.G.Kovacs), Pacific J. Math. 136, 283-292.
73. A note on group Latin squares, J. Combinatorial Math. and Combinatorial Computing 5, 41-42.
74. Inversive planes of odd order, (with P.H.Fisher, T.Penttila, and G.F.Royle), European J. Combinatorics 10, 331-336.
75. Highly arc transitive digraphs, European J. Combinatorics10, 281-292.
76. Constructing the vertex transitive graphs of order 24, (with G.F.Royle), J. Symbolic Computation 8, 309-326.

1990

77. Block-transitive designs and maximal subgroups of finite symmetric groups, Australas. J. Combin. 1, 193-205.
78. The inclusion problem for finite primitive permutation groups, Proc. London Math. Soc.60, 68-88.
79. Subgroups of finite symmetric groups, Advances in Math., Beijing 19, 1-11.
80. Finite primitive permutation groups: a survey, in Groups - Canberra, Lecture Notes in Mathematics 1456, Springer-Verlag, Berlin, Heidelberg, New York, 63-84; translated into Chinese by K. P. Shum, and published by Academia Sinica, Beijing, China, pp 282-293.
81. Maximal subgroups of infinite symmetric groups, (with H. D. Macpherson), J. London Math. Soc. (2) 42, 85-92.

1991

82. On homomorphic images of edge-transitive directed graphs, Australas. J. Combin.3, 207-210.
83. Stabilizers of hyperovals in PG(2,32), (with C.M. O'Keefe and T. Penttila), in Advances in Finite Geometries and Designs, ed. J.W.P. Hirschfeld, D.R. Hughes and J.A. Thas, O.U.P., 337-351.
84. Kronecker classes of field extensions of small degree, J.Austral. Math. Soc(A) 50, 297-315.
85. On minimal symmetric automorphism groups of finite symmetric graphs, Australas. J. Combin.4, 237-252.
86. Balanced directed cycle designs based on groups, Discrete Math.92, 275-290.
87. On permutation groups with bounded movement, J. Algebra 144, 436-442.
88. Small squaring and cubing properties for finite groups, (with Ya. G. Berkovich and G.M. Freiman), Bull. Austral. Math. Soc.50, 297-315.
89. Computing with group homomorphisms, (with C. Leedham-Green and L. Soicher), J. Symbolic Computation 12, 527-532.
90. Groups and designs, Proc. Asian Mathematical Conference, 1990, ed. by Li Zhong, K.P. Shum, C.C.Yang and Yang Le, World Scientific, Singapore, 363-372.

1992

91. Closures of finite primitive permutation groups, (with J. Saxl),Bull. London Math. Soc. 24, 251-258.
92. Closures of finite permutation groups and relation algebras, in Groups, Combinatorics and Geometry, Eds. M. W. Liebeck and J. Saxl, London Math. Soc. Lecture Series 165, Cambridge University Press, Cambridge, pp 368-379.
93. The Loewy length of the Jacobson radical of a bounded endomorphism ring, (with P.Schultz), in Abelian Groups and Noncommutative Rings: a Collection of papers in memory of Robert B. Warfield Jr., Eds. L. Fuchs and K. R. Goodearl, J. T. Stafford and C. Vinsonhaler, Contemp. Math. 130, 349-360.
94. Concerning multiplier automorphisms of cyclic Steiner triple systems, (with C.J.Colbourne, E. Mendelsohn and V. D. Tonchev), Designs, Codes and Cryptography 2, 237-251.
95. The block-transitive, point-imprimitive 2-(729,8,1) designs, (with W. Nickel, A. Niemeyer, C. M. O'Keefe, and T. Penttila), Applicable Algebra in Eng., Comm. and Comp. 3, 47-61.
96. Partitioning into Steiner systems, (with P.J. Cameron), in Combinatorics'88: Proceedings of the International Conference on Incidence Geometries and Combinatorial Structures, (Eds. A. Barlotti, G. Lunardon, F. Mazzocca, N. Melone, D. Olanda, A. Pasini, G. Tallini), 1st Volume, Mediterranean Press, pp 61-71.
97. A recognition algorithm for special linear groups, (with P.M. Neumann), Proc. London Math. Soc.(3) 65, 555-603.
98. Relation algebras and finite permutation groups, (with M.W. Liebeck), J. London Math. Soc.(2) 45, 433-445.
99. Affine distance transitive groups with alternating or symmetric point stabilizer, (with M.W. Liebeck), European J. Combin. 13, 489-501.

1993

100. Block-transitive, point-imprimitive designs with lambda = 1, (with C. M. O'Keefe and T. Penttila), Discrete Math. 115, 231-244.
101. Finite vertex transitive graphs and primitive permutation groups, in Coding Theory, Design Theory, Group Theory, (Proceedings of the Marshall Hall Conference) (Eds: D. Jungnickel and S. A. Vanstone), Wiley, New York, pp 51-65.
102. On a reduction theorem for finite, bipartite, 2-arc transitive graphs, Australas. J. Combin. 7, 21-36.
103. Line-transitive automorphism groups of linear spaces, (with A. Camina), Bull. London Math. Soc. 25, 309-315.
104. Symmetric graphs of order a product of two distinct primes, (with R.J. Wang and M.Y.Xu), J. Combin. Theory (B) 58, 299-318.
105. An O'Nan-Scott Theorem for finite quasiprimitive permutation groups, and an application to 2-arc transitive graphs, J. London Math. Soc.(2) 47, 227-239.
106. On finite affine 2-arc transitive graphs, (with A. A. Ivanov), European J. Combin. 14, 421-444.
107. Permutation group subdegrees and the common divisor graph, (with I.M.Isaacs), J. Algebra 159, 158-175.
108. Computation with matrix groups over finite fields, in Groups and Computation (Ed. by L. Finkelstein and W. M. Kantor) DIMACS Series in Discrete Math. and Theoretical Computer Science 11, 189-195.
109. Block-transitive t-designs, I: point-imprimitive designs, (with P. J. Cameron), Discrete Math. 118, 33-43.
110. Half-regular symmetric designs, (with A. Rahilly, D. Bryant and A. P. Street), Australas. J. Combin.8, 1-26.
111. Vertex primitive graphs of order a product of two distinct primes, (with M.Y.Xu), J. Combinatorial Theory (B) 59, 245-266.
112. Block-transitive t-designs, II: large t, (with P.J. Cameron), in Finite Geometry and Combinatorics edited by F. De Clerk et al, London Math. Soc. Lecture Note Series 191, Cambridge University Press, Cambridge, 1993, pp. 103-119.
113. Infinite highly arc transitive digraphs and universal covering digraphs, (with P.J. Cameron and N.C. Wormald), Combinatorica 13, 377-396.

1994

114. Non-Cayley, vertex transitive graphs of order twice the product of two distinct odd primes, (with A. A. Miller), J. Alg. Combin.3, 77-111.
115. Maximal subgroups of infinite symmetric groups, (with M.Brazil, J.Covington, T. Penttila and A.R.Woods), Proc. London Math. Soc. (3) 68, 77-111.
116. Vertex-transitive graphs which are not Cayley graphs, I, (with B.D.McKay), J. Austral. Math. Soc.(A) 56, 53-63.
117. Infinitary versions of the O'Nan-Scott theorem, (with H.D.Macpherson), Proc. London Math. Soc.(3) 68, 518-540.
118. A characterisation of certain finite alternating and symmetric groups, (with Wujie Shi), Comm. Alg. 22(5), 1507-1530. Doi: 10.1080/00927879408824920
119. Most abelian p-groups are determined by the Jacobson radical of their endmorphism rings, (with Jutta Hausen and Phillip Schultz), Math. Zeit. 216, 431-436.
120. Transitive permutation groups with bounded movement, (with A. Gardiner), J. Algebra 168, 798-803.
121. Kronecker classes of fields and covering subgroups of finite groups, J. Austral. Math. Soc. (A) 57, 17-34.
122. On 4-valent symmetric graphs, (with A. Gardiner), European J. Combin.15, 375-381.
123. A characterisation of certain families of 4-valent symmetric graphs, (with A. Gardiner), European J. Combin. 15, 383-397.

1995

124. Balanced directed cycle designs based on cyclic groups, (with C. Nilrat), J. Austral. Math. Soc.(A) 58, 210-218.
125. Orbit lengths of permutation groups, and group rings of locally-finite simple groups of alternating type, (with A. Zalesskii), Proc. London Math. Soc. (3) 70, 313-335.
126. Cycle types forbidden in infinite primitive permutation groups, (with H. D. Macpherson), J. Algebra 175, 212-240.
127. The separation theorem for group actions, in Ordered groups and infinite permutation groups, Ed: W. Charles Holland, Kluwer, Dordrecht, Boston, London, pp. 195-219.
128. A geometrical approach to imprimitive symmetric graphs, (with A. Gardiner), Proc. London Math. Soc. (3) 71, 524-546.
129. Restricted movement for intransitive group actions, in Groups-Korea '94, Eds: A. C. Kim and D. Johnson, de Gruyter, Berlin, New York, pp. 267-275.
130. Constructions of 2-arc transitive directed graphs,(with M. Conder and P. Lorimer) J. Austral. Math. Soc (A) 59, 61-80.
131. Subsets close to invariant subsets for group actions, (with Leonid Brailovsky and Dmittri Pasechnik), Proc. Amer. Math. Soc.123, 2283-2295.
132. Cyclic matrices over finite fields, (with P. M. Neumann), J. London Math. Soc. 52, 263-284.

1996

133. On the characterisation of AG(n,q) by its parameters as a nearly triply regular design, (with Arlene A. Pascasio and Blessilda Raposa), Designs, Codes and Cryptography 8, 173-179.
134. Ovoids and monomial ovals,(with D.G.Glynn, C.M.O'Keefe, and T.Penttila), Geom. Ded.. 59, 223-241.
135. On primitive representations of finite alternating and symmetric groups with a 2-transitive subconstituent, (with Jie Wang), J. Algebra180, 808-833.
136. Transitive permutation groups of minimal movement, (with A. Mann), J. Algebra 181, 903-911.
137. Remarks on path-transitivity in finite graphs, (with M. D. E. Conder), European J. Combin. 17, 371-378.
138. The finite simple groups with at most two fusion classes of every order (with Cai Heng Li), Comm. Alg. 24, 3681-3704.
139. An inequality for tactical configurations (with P. M. Neumann), Bull. London Mathematical Society 28, 471-475.
140. Vertex-transitive graphs that are not Cayley graphs, II, (with B.D.McKay), J. Graph Theory 22, 321-334.
141. Classification of 2-quasi-invariant sets, (with L. Brailovsky and D. V. Pasechnik), Ars Combin. 42, 65-76.
142. Non-symmetric nearly triply regular designs, (with Blessilda Raposa), Discrete Math. 151, 201-212.
143. On factorisations of almost simple groups, (with M. W. Liebeck and J. Saxl), J. Algebra 185, 409-419.
144. On block-transitive designs with affine automorphism group, (with R. Mathon), J. Statist. Planning and Inference 56, 203-221.

1997

145. Antipodal distance transitive covers of complete bipartite graphs, (with A. A. Ivanov, R. Liebler and T. Penttila), European J. Combin. 18, 11-34.
146. Implementing a recognition algorithm for classical groups, (with A. Niemeyer), in Groups and Computation II, Eds: Larry Finkelstein and William M. Kantor, DIMACS series in Discrete Math. and Theoretical Computer Science 28, 273-296.
147. Finite transitive permutation groups and finite vertex-transitive graphs, (with the assistance of Cai Heng Li and Alice C. Niemeyer), in Graph Symmetry: Algebraic Methods and Applications, NATO ASI Ser.C 497, pp. 277-318. doi: 10.1007/978-94-015-8937-6_7
148. Finite quasiprimitive graphs, in Surveys in Combinatorics, 1997, Ed: R. A. Bailey, London Math. Soc. Lecture Note Series 241, Cambridge University Press, Cambridge, pp. 65-85.
149. On the distance between distinct group Latin squares, (with D. Donovan and S. Oates-Williams), J. Combin. Designs 5, 235-248.
150. Partition graphs for finite symmetric groups, (with Margaret Morton and Marston Conder), J. Graph Theory 25, 107-117.
151. Finite groups in which any two elements of the same order are either fused or inverse-fused, (with Cai Heng Li), Comm. Alg. 25, 3081-3118.
152. Ovoids and translation ovals, (with T. Penttila), J. London Math. Soc. (2) 56, 607--624.
153. Movement and separation of subsets of points under group actions, J. London Mathematical Society (2) 56, 519--528.
154. Polygonal graphs: new families and an approach to their analysis, (with M. Perkel), Congressus Numerantium 124, 161--173.

1998

155. On locally projective graphs of girth 5, (with A. A. Ivanov), J. Alg. Combin. 7, 259-283.
156. On orbital regular graphs and Frobenius graphs, (with X. G. Fang and C. H. Li), Discrete Math. 182, 85-99. (In Editor's Choice Discrete Mathematics, 1998, http://www.elsevier.com/locate/disc)
157. On finite groups with the Cayley isomorphism property, (with Cai Heng Li and Ming Yao Xu), J. Graph Theory 27, 21-31.
158. On classifying all full factorisations and multiple-factorisations of the finite almost simple groups, (with Robert W. Baddeley), J. Algebra204, 129--187.
159. Topological covers of complete graphs, (with A. Gardiner). Math. Proc. Cambridge Philos. Soc. 123, 549--559.
160. On graphs admitting arc-transitive actions of almost simple groups, (with Xin Gui Fang), J. Algebra 205, 37--52.
161. A recognition algorithm for classical groups over finite fields, (with A. Niemeyer), Proc. London Math. Soc. (3) 77, 117--169.
162. Antipodal distance transitive covers of complete graphs,  (with C. D. Godsil, and R. A. Liebler),  European J. Combin.19, 455--478.
163. Isomorphisms of finite Cayley digraphs of bounded valency, (with Cai Heng Li and Ming Yao Xu), J. Combin. Theory (B)  73, 164--183.
164. On vertex-imprimitive graphs of order a product of three distinct odd primes, (with Akbar Hassani and Mohammad Ali Iranmanesh), J. Combin. Math. and Combin. Computing 28, 187--213.
165. Derangements and eigenvalue-free elements in finite classical groups, (with P. M. Neumann), J. London Math. Soc. (2) 58, 564--586.

1999

166. Linear groups with orders having certain large prime divisors, (with R. Guralnick, T. Penttila, and J. Saxl), Proc. London Math. Soc. (3) 78, 167--214.
167. Primitive prime divisor elements in finite classical groups, in Groups St Andrews 1997 in Bath, II, Eds: C. M.  Campbell, E. F. Robertson, N. Ruskuc and G. C. Smith, London Math. Soc. Lecture Note Series 261, 605--623. Chapter DOI: 10.1017/CB09780511666148.024
168. On the isomorphism problem for finite Cayley graphs of bounded valency, (with Cai Heng Li), European J. Combin. 20, 279--292.
169. Transitive permutation groups with bounded movement having maximal degree, (with A. Hassani, M. Khayaty, and E. I. Khukhro), J. Algebra 214, 317--337.
170. Tetravalent graphs admitting half-transitive group actions: alternating cycles, (with D. Marusic), J. Combin. Theory (B) 75, 188--205.
171. The maximal number of orbits of a permutation group with bounded movement, (with Jung R. Cho and Pan Soo Kim), J. Algebra 214, 625--630.
172. On the movement of a permutation group, (with Peter M. Neumann),J. Algebra 214, 631--635.
173. On transitive permutation groups with primitive subconstituents, (with Dmitrii V. Pasechnik), Bull. London Math. Soc. 31, 257--268.
174. Finite two-arc transitive graphs admitting a Suzuki simple group, (with Xin Gui Fang), Comm. Alg. 27, 3727--3754.
175. Finite two-arc transitive graphs admitting a Ree simple group, (with Xin Gui Fang), Comm. Alg. 27, 3755--3769.
176. A recognition algorithm for non-generic classical groups over finite fields, (with Alice C. Niemeyer), J. Austral. Math. Soc. (A)67, 223--253.
177. Finite normal edge-transitive Cayley graphs, Bull. Austral. Math. Soc. 60, 207--220. doi: 10.1017/S0004972700036340
178. On the automorphism groups of quasiprimitive almost simple graphs, (with Xin Gui Fang and George Havas), J. Algebra 222,271-283.
179. Completely transitive codes in Hamming graphs, (with Michael Giudici), European J. Combin. 20, 647--661.
180. Two-arc transitive graphs admitting a two-dimensional projective linear group, (with A. Hassani and L. Nochefranca), J. Group Theory2, 335--353.

2000

181. On the Weiss Conjecture for finite locally-primitive graphs, (with Marston D. Conder and Cai Heng Li), Proc. Edinburgh Math. Soc.43, 129-138.
182. Finite quasiprimitive group actions on graphs and designs, in Groups - Korea '98, Eds: Young Gheel Baik, David L. Johnson, and Ann Chi Kim, de Gruyter, Berlin and New York, pp. 319-331.
183. On minimal faithful permutation representations of finite groups, (with L. G. Kovacs), Bull. Austral. Math. Soc. 62, 311-317.
184. Vertex-primitive groups and graphs of order twice the product of two distinct odd primes, (with Greg Gamble), J. Group Theory 3, 247-269.
185. A class of finite symmetric graphs with 2-arc transitive quotients, (with Cai Heng Li and Sanming Zhou), Math. Proc. Cambridge Philos. Soc. 129, 19-34.
186. Cyclic matrices in classical groups over finite fields, (with P. M. Neumann), J. Algebra. 234, 367-418.
187. Transitive subgroups of primitive permutation groups, (with M. W. Liebeck and J. Saxl), J. Algebra 234, 291-361.

2001

188. Locally primitive Cayley graphs of finite simple groups, (with Xin Gui Fang and Jie Wang), Science in China (Series A) 44, 58-66. (Version in Chinese appears in Science in China (Series A) 30(2000), 700-706.
189. On non-Cayley vertex-transitive graphs of order a product of three primes, (with Mohammad A. Iranmanesh), J. Combin. Theory (B) 81, 1-19. doi: 10.1006/jctb.2000.1985
190. Cyclic matrices and the meataxe, (with Peter M. Neumann), in Groups and Computation III, Eds: William M. Kantor, Akos Seress, Ohio State University Mathematical Institute Publications Volume 8,  Walter de Gruyter, Berlin, pp.291-300.
191. Line-transitive, point-quasiprimitive automorphism groups of finite linear spaces are affine or almost simple, (with Alan Camina), Aequationes. Math. 61, 221-232.
192. On narrow 6-gonal graphs with a triply transitive suborbit, (with M. Perkel and R. Weiss), J. Alg. Combin. 13, 257-273.
193. Computers in algebra: new answers, new questions,  J. Korean Mathematical Society 38, 763-780.
194. Implications of line-transitivity for designs, in Finite Geometries: proceedings of the Fourth Isle of Thorns Conference, Eds: A. Blokhuis, J. W. P. Hirschfeld, D. Jungnickel and J. A. Thas, Developments in Mathematics, Volume 3, Kluwer, Dordrecht, 2001, pp. 305-317.
195. Complexity and computation in matrix groups, (with Alice C. Niemeyer),  in Aspects of complexity. Eds: Rod Downey and Denis Hirschfeldt, de Gruyter Series in Logic and its Applications, Volume 4, de Gruyter, Berlin, pp. 87-113.
196. Bounds on finite quasiprimitive permutation groups, (with Aner Shalev), J Austral. Math. Soc. 71, 243-258.
197. Cross-ratio graphs, (with A. Gardiner and Sanming Zhou), J. London Math. Soc. 64, 257-272.
198. Self-complementary vertex-transitive graphs need not be Cayley graphs, (with Cai Heng Li), Bull. London Math. Soc. 33,  653-661.

2002

199. Primitive permutation groups with a common suborbit, and edge-transitive  graphs, (with M.W. Liebeck and J. Saxl), Proc. London Math. Soc.84,  405-438.
200. Finite locally-quasiprimitive graphs, (with Cai Heng Li, Akshay Venkatesh and Sanming Zhou), Discrete Math 246, 197-218.
201. Permutation groups and normal subgroups,  Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20-28, 2002. Vol. II: Invited lectures.  Eds: Li, Ta Tsien et al., Beijing: Higher Education Press. 67-76.
202. Factorisations of characteristically simple groups, (with Csaba Schneider), J. Algebra 255, 198-220.
203. Permutations  with  restricted cycle  structure  and an  algorithmic application, (with Robert Beals, Charles R.  Leedham-Green, Alice C. Niemeyer, and Akos Seress), Combinatorics, Probability and Computing 11, 447-464.
204. Finding optimal routings in Hamming graphs, (with Tian Khoon Lim), European J. Combin. 23, 1033-1041.
205. On the automorphism groups of Cayley graphs of finite simple groups, (with Xin Gui Fang and Jie Wang), J. London Math. Soc. (2)66, 563--578.
206. Constructing homogeneous factorisations of complete graphs and digraphs, (with Cai Heng Li), Graphs and Combinatorics 18, 757-761.

2003

207. On partitioning the orbitals of a transitive permutation group, (with Cai Heng Li), Trans. Amer. Math. Soc.  355,637-653.
208. On transitive Cayley graphs of groups and semigroups, (with Andrei Kelarev), European J. Combin. 24, 59-72.
209. Quasiprimitivity: structure and combinatorial applications, Discrete Math. 264, 211-224.
210. Inequalitites involving the Delandtsheer-Doyen parameters for finite line-transitive linear spaces, (with Ngo Dac Tuan), J. Combin. Theory (A)  102, 38-62.
211. Ordered triple designs and wreath products of groups, (with Csaba Schneider), in IMS Lecture Notes -- Monograph Series, Volume 40, Science and Statistics: A Festschrift for Terry Speed, Ed: Darlene R. Goldstein, 103-113.
212. Two-arc closed subsets of graphs, (with Marston Conder and Margaret Morton), J. Graph Theory 42, 350-364.
213. A black-box algorithm for recognising finite symmetric and alternating groups, I, (with Robert Beals, Charles R.  Leedham-Green, Alice C. Niemeyer, and Akos Seress), Trans. Amer. Math. Soc. 355, 2097-2113.
214. On primitive overgroups of quasiprimitive permutation groups, (with Robert W. Baddeley), J. Algebra 263, 294--344.
215. Alternating groups acting on finite linear spaces, (with Alan R. Camina and Peter M. Neumann). Proc. London Math. Soc.(3) 87, 29-53.
216. Overgroups of finite quasiprimitive permutation groups, in Groups, Combinatorics and Geometry: Durham 2001, World Scientific, Singapore. Eds: A. A. Ivanov, M. W. Liebeck and J. Saxl, pp. 233-241.
217. Quotients and inclusions of finite quasiprimitive permutation groups, J. Algebra. 269, 329-346.
218. On a theorem of Wielandt for finite primitive permutation groups , (with Anton Betten, Anne Delandtsheer and Alice C. Niemeyer), J. Group Theory 6, 415-420.
219. Three-star permutation groups, (with Peter M. Neumann), Illinois J. Math. 47, 445-452. Also published by the Illinois Journal in The mathematical legacy of Reinhold Baer (January 2004, 586pp., ISBN 0-9746986-0-1).
220. Finite transitive permutation groups and bipartite vertex-transitive graphs, Illinois J. Math. 47, 461-475. Also published by the Illinois Journal in The mathematical legacy of Reinhold Baer (January 2004, 586pp., ISBN 0-9746986-0-1).
221. Finite line-transitive linear spaces: parameters and normal point-partitions, (with Anne Delandtsheer and Alice. C. Niemeyer), Advances in Geometry 3, 469-485.

2004

222. Analysing finite locally s-arc transitive graphs, (with Michael Giudici and Cai Heng Li), Trans. Amer. Math. Soc. 356, 291-317.
223. On tensor factorisation problems, I: the combinatorial problem, (with Peter M.Neumann), LMS J. Comput. Math. 7, 73-100.
224. Finite permutation groups with a transitive minimal normal subgroup, (with John Bamberg) Proc. London Math. Soc (3) 89,  71-103.
225. Identifying Cartesian decompositions preserved by transitive permutation groups (with Robert W. Baddeley and Csaba Schneider), Algebra Colloquium 11, 1-10.
226. Transitive simple subgroups of wreath products in product action, (with Robert W. Baddeley and Csaba Schneider). J. Austral. Math Soc. 77, 55-72.
227. Finite symmetric graphs, in Algebraic Graph Theory, Eds: Lowell W. Beineke and Robin J. Wilson. Encyclopedia of Mathematics and its Applications 102, Cambridge University Press, Cambridge. Chapter 7, pages 179-202.
228. The locally two-arc transitive graphs admitting a Ree simple group, (with Xin Gui Fang and Cai Heng Li) , J. Algebra 282, 638-666.
229. On orbital partitions and exceptionality of primitive permutation groups, (with R. M. Guralnick, Cai Heng Li and J. Saxl), Trans. Amer. Math. Soc. 356, 4857-4872.
     

2005

230. Some locally 3-arc transitive graphs constructed from triality (with Michael Giudici and Cai Heng Li), J Algebra 285, 11-28.
231. Finite symmetric graphs with two-arc transitive quotients, (with Mohammad A. Iranmanesh and Sanming Zhou), J. Combin. Theory Series B. 94, 79-99.
     
232. Constructive recognition of finite alternating and symmetric groups acting as matrix groups on their natural permutation modules, (with Robert Beals, Charles R.  Leedham-Green, Alice C. Niemeyer, and Akos Seress), J. Algebra 292, 4-46.
233. Generalised sifting in black-box groups, (with Sophie Ambrose, Max Neunhoeffer and Csaba Schneider) LMS Journal of Computation and Mathematics 8, 217-250.
     
234. Permutation groups, simple groups and sieve methods, (with D.R. Heath-Brown and Aner Shalev), Israel J. Math 148, 347-375.
     
235. A search algorithm for line-transitive, point-imprimitive linear spaces, (with Anton Betten, Greg Cresp, and Alice C. Niemeyer), Bayreuther Mathematische Schriften 74, 42-57. Editors: A. Kerber, A. Kohnert: ALCOMA'05. Proceedings of the Conference on Algebraic Combinatorics and Applications, Designs and Codes (April 3-10, 2005, Thurnau).

2006

236. Homogeneous factorisations of graphs and digraphs, (with M. Giudici, C. H. Li, and P Potocnik),  European J. Combin. 27,11-37.
     (This paper was ranked number 1 in the TOP25 Hottest Articles downloaded in the period October-December 2005 within the European Journal of Combinatorics.)
237. Locally 2-arc transitive graphs, homogeneous factorizations and partial linear spaces, (with M. Giudici and C. H. Li), J. Combin. Designs 14, 139-148.
238. Innately transitive subgroups of wreath products in product action, (with Robert W. Baddeley and Csaba Schneider), Trans. Amer. Math. Soc. 358, 1619-1641.
239. Seminormal and subnormal subgroup lattices for transitive permutation groups, J. Australian Math. Soc. 80, 45-63.
240. Limits of vertex-transitive graphs, (with Michael Giudici, Cai Heng Li, Akos Seress and Vladimir Trofimov), Contemporary Math. 402. Eds: Z. Arad, M. Bianchi, W. Herfort, P. Longobardi, M. Maj and C. Scoppola. pp. 159-170.
241. On minimal subdegrees of finite primitive permutation groups, (with Michael Giudici, Cai Heng Li, Akos Seress and Vladimir Trofimov). in: Finite Geometries, Groups, and Computation. Eds. A. Hulpke, R. Liebler, T. Penttila, A. Seress. DeGruyter. Berlin, New York. pp. 75-94.
242. Locally s-arc transitive graphs with two different quasiprimitive actions, (with Michael Giudici and Cai Heng Li) J. Algebra 299, 863-890.
243. A reduction algorithm for large-base primitive permutation groups, (with Maska Law, Alice Niemeyer and Akos Serress), LMS J. Comput. Math. 9, 159-173.
244. On the frequency of permutations containing  a long cycle, (with Alice C. Niemeyer) J. Algebra 300, 289-304.
245. Imprimitive flag-transitive symmetric designs, (with Shenglin Zhou) J.Combin. Theory, Series A 113, 1381-1395.
246. Characterising finite locally s-arc transitive graphs with a star normal quotient, (with M. Giudici and C. H. Li) J. Group Theory 9,641-658.
247. The k-star property for permutation groups, (with Rosemary Clough and Csaba Schneider), Thai Journal of Mathematics 4, 251-256.

2007

248. On limit graphs of finite vertex-primitive graphs, (with Michael Giudici, Cai Heng Li, Akos Seress and Vladimir Trofimov) J.Combin. Theory, Series A 114, 110-134.  (This paper was ranked in the TOP25 Hottest Articles downloaded in the period October, November and December, 2006 within the Journal of Combinatorial Theory, Series A.)
     
249. A new family of locally 5-arc transitive graphs, (with Michael Giudici and Cai Heng Li), European J. Combin. 28, 533-548.
250. Homogeneous factorisations of complete multipartite graphs, (with M. Giudici, C. H. Li, and P Potocnik), Discrete Math. 307, 415--431.
251. Quasiprimitive groups and blow-up decompositions, (with Robert W. Baddeley and Csaba Schneider), J. Algebra 311, 337-351.   doi.org/10.1016/j.jalgebra.2006.11.006
252. On permutations of order dividing a given integer, (with Alice C. Niemeyer). J. Alg. Combin. 26, 125-142.   doi.org/10.1007/s10801-007-0056-5   Arxiv: 1702.07406.
253. Three types of inclusions of innately transitive permutation groups into wreath products in product action, (with Csaba Schneider), Israel J. Math. 158, 65-104.  arXiv:math/0406600
254. The flag-transitive symmetric designs with 45 points, blocks of size 12, and 3 blocks on every point pair. Designs, Codes and Crypt. 44, 115 - 132.
     
255. On the proportion of permutations of order a multiple of the degree, (with Alice C. Niemeyer). J. London Math. Soc. 76, 622-632.   doi: 10.1112/jlms/jdm084
     
256. Extremely primitive groups, (with Avinoam Mann and Akos Seress). Groups, Geometry and Dynamics 1, 623-660. doi: 10.4171/GGD/27

2008

257. Intransitive Cartesian decompositions preserved by innately transitive permutation groups, (with Robert Baddeley and Csaba Schneider), Trans. Amer. Math. Soc 360, 743-764. PII:S 0002-9947(07)04223-7  arXiv:math/0405241
     
258. On the domination number of the generalized Petersen graphs, (with Mehdi Behzad and Arash Behzad), Discrete Math. 308, 603-610. doi:10.1016/j.disc.2007.03.024. [In the ScienceDirect Top 25 Hottest Articles, Discrete Math. Oct-Dec 2007.]
     
259. Homogeneous Factorisations of Johnson Graphs, (with Maria Cristeta Cuaresma and Michael Giudici). Designs, Codes and Cryptography 46, 303-327. doi:10.1007/s10623-007-9158-2.
260. Classification of line-transitive point-imprimitive linear spaces with line size at most 12, (with Shenglin Zhou). Designs, Codes and Crypt. 47, 99-111. doi: 10.1007/s10623-007-9077-2.
261. Transitive decompositions of graph products: rank 3 grid type, (with John Bamberg and Geoffrey Pearce), J. Group Theory 11, 185-228. doi: 10.1515/JGT.2008.011 Published on-line March 2008.
262. Homogeneous factorisations of graph products, (with Michael Giudici, Cai Heng Li and Primoz Potocnik). Discrete Math. 308, 3652- 3667. doi: 10.1016/j.disc.2007.07.025
     
263. Primitive decompositions of Johnson graphs, (with Alice Devillers, Michael Giudici and Cai Heng Li). J. Combin. Theory, Series A. 115, 925-966.  doi:10.1016/j.jcta.2007.11.005 [In the ScienceDirect Top 25 Hottest Articles. J. Combin. Theory (A) Jan-Mar and July-Sep 2008.]  
     
264. Symmetrical Covers, Decompositions and Factorisations of Graphs, (with Michael Giudici and Cai Heng Li), in Applications to Group Theory and Combinatorics. Eds: Jack Koolen, Jin Ho Kwak and Mingyao Xu. A. A. Balkema Publishers (Taylor & Francis) pp. 27-42.
265. Computing minimal polynomials of matrices, (with Max Neunhoeffer). The LMS Journal of Computation and Mathematics 11, 252-279,  arXiv:0705.0933v1 [math.RA]
     
266. Line-transitive point-imprimitive linear spaces: the grid case, (with Anton Betten and Greg Cresp). Innov. Incidence Geom. 8, 117-135.

2009

267. Homogeneous factorisations of complete graphs with edge-transitive factors, (with Cai Heng Li and Tian Khoon Lim), J. Alg. Combin. 29, 107 - 132. doi:10.1007/s10801-008-0127-2
268. A note on arc-transitive circulant digraphs, (with Jing Xu), J. Group Theory, 12, 107-117. doi:10.1515/JGT.2008.064
269. Flag-transitive symmetric 2-(96,20,4)-designs. (with Maska Law and Sven Reichard). J. Combinatorial Theory, Series A. 116, 1009-1022.  doi:10.1016/j.jcta.2008.12.005     [In the ScienceDirect Top 25 Hottest Articles. J. Combin. Theory (A) April-Jun 2009.]  
270. On bipartite divisor graphs for group conjugacy class sizes. (with Daniela Bubboloni, Silvio Dolfi and Mohammadali A. Iranmanesh.)  J. Pure and Applied Algebra 213, 1722-1734.  doi:10.1016/j.jpaa.2009.01.015
271. Finding involutions in finite Lie type groups of odd characteristic, (with Frank Lubeck and Alice C Niemeyer), J. Algebra 321,  3397–3417. doi:10.1016/j.jalgebra.2008.05.009    
272. On Generalised Paley Graphs and their automorphism groups, (with Tian Khoon Lim). Michigan Math. J. 58, 294-308. arXiv:math/0605252v1 
273. Towards an efficient Meat-axe algorithm using f-cyclic matrices: the density of uncyclic matrices in M(n,q), (with S. P. Glasby). J. Algebra 322, 766-790.  doi:10.1016/j.jalgebra.2009.02.021    arXiv:1405.5631.
274. Finite line-transitive linear spaces: theory and search strategies. (with Anton Betten, Anne Delandtsheer, Maska Law, Alice C. Niemeyer and Shenglin Zhou). Acta Mathematica Sinica, English Series. 25, 1399-1436.  arXiv:math/0701629v2 [math.CO] doi:10.1007/s10114-009-9275-0
275. Strongly regular edge-transitive graphs, (with Joy Morris and Pablo Spiga). Ars Math. Contemporanea 2, 137–155.
276. Common circulant homogeneous factorisations of the complete digraph, (with Cai Heng Li and Linda Stringer). Discrete Math. 309, 3006- 3012. doi:10.1016/j.disc.2008.07.034
     
277. Maximal subsets of pairwise non-commuting elements of finite three-dimensional general linear groups. (with Azizollah Azad). Bull. Austral. Math. Soc. 80, 91-104.

2010

278. Some graphs related to the small Mathieu groups, (with Alice Devillers, Michael Giudici, and Cai Heng Li). European J. Combin. 31, 336-348. [In the SciVerse ScienceDirect Top 25 for the 2009-2010 Academic Year . European J. Combin. ]  doi:10.1016/j.ejc.2009.03.017
279. Imprimitive symmetric graphs with cyclic blocks, (with Cai Heng Li and Sanming Zhou). European J. Combin. 31, 362-367. doi:10.1016/j.ejc.2009.02.006
280. Regular permutation groups and Cayley graphs, In European Women in Mathematics, Proceedings of the 13th General Meeting, World Scientific, 2010. Eds: Catherine Hobbs and Sylvie Pacha. pp. 55-69.
281. Estimating proportions of elements in finite groups of Lie type, (with Alice C. Niemeyer). J. Algebra 324, 122-145.   doi:10.1016/j.jalgebra.2010.03.018   
282. On proportions of pre-involutions in finite classical groups, (with Alice C. Niemeyer and Tomasz Popiel). J. Algebra  324, 1016-1043.   doi:10.1016/j.jalgebra.2010.03.026   
283. Constructive membership testing in black-box classical groups, (with Sophie Ambrose, Scott H. Murray and Csaba Schneider), in ICMS 2010. Eds: K. Fukuda et al. LNCS 6327 (Springer, Heidelberg) pp. 54-57.
284. Bipartite divisor graphs for integer subsets. (with Mohammad A. Iranmanesh). Graphs and Combin. 26, 95-105.
285. Bernhard Hermann Neumann 1909 - 2002. Historical Records of Australian Science 21(2), 253 - 282.    doi:10.1071/HR09021; republished with permission in Bull. London Math. Soc. 44 (2012), 375-402.  doi: 10.1112/blms/bdr135
286. Bernhard Hermann Neumann AC. 15 October 1909 - 21 October 2002 Biogr. Mems. Fell. R. Soc. 56, 285-316.  doi: 10.1098/rsbm.2010.0002

2011

287. Fundamental dominations in graphs, (with Mehdi Behzad and Arash Behzad). Bulletin Inst. Math. Appl. 61, 6-16.
288. Normal coverings of finite symmetric and alternating groups (with Daniela Bubboloni). J. Combin. Theory, Series A. 118, 2000-2024.   [In the SciVerse ScienceDirect Top 25 for April-June 2011, in J. Combin. Theory Series A ]  doi: 10.1016/j.jcta.2011.03.008
289. On triple factorisations of finite groups (with S. Hassan Alavi). J. Group Theory 14, 341-360.  doi: 10.1515/JGT.2010.052
290. Probabilistic generation of finite classical groups in odd characteristic by involutions, (with Akos Seress). J. Group Theory. 14, 521-545.   doi: 10.1515/JGT.2010.061
291. Abelian coverings of finite general linear groups and an application to their non-commuting graphs (with A. Azad, M. Iranmanesh, and P. Spiga). J. Alg. Combin. 34, 683-710.  doi: 10.1007/s10801-011-0288-2
292. Invariant relations and Aschbacher classes of finite linear groups (with Michael Giudici, Cai Heng Li, and Jing Xu). Electronic J. Combin. 18, #P225.  
293. On imprimitive rank 3 permutation groups (with Alice Devillers, Michael Giudici, Cai Heng Li and Geoffrey Pearce). J. London Math. Soc. 84, 649-669.  doi: 10.1112/jlms/jdr009    Erratum (necessitated by publisher error) doi: 10.1112/jlms/jdr074

2012

294. Locally s-distance transitive graphs, (with Alice Devillers, Michael Giudici and Cai Heng Li). J. Graph Theory. 69, 176-197   doi:10.1002/jgt.20574
295. On finite permutation groups with a transitive cyclic subgroup (with Cai Heng Li). J. Algebra 349, 117-127.  doi: 10.1016/j.jalgebra.2011.10.021    (This paper was ranked number 4 in the TOP25 Hottest Articles downloaded in the period October-December 2011 within the Journal of Algebra.)
296. Symmetry properties of Subdivision Graphs (with Ashraf Daneshkhah and Alice Devillers). Discrete Math. 312, 86-93. doi: 10.1016/j.disc.2011.03.031
297. An infinite family of biquasiprimitive 2-arc transitive cubic graphs (with Alice Devillers, Michael Giudici and Cai Heng Li). J. Alg. Combin. 35,173-192.  doi: 10.1007/s10801-011-0299-z
298. On semiregular permutations of a finite set, (with Alice C. Niemeyer, Tomasz Popiel, and Sukru Yalcinkaya). Math. Comp. 81, 605--622.   doi:10.1090/S0025-5718-2011-02506-8
299. Set-homogeneous directed graphs (with R. Gray, H. D. Macpherson, and G. F. Royle). J. Combin. Theory, Series B 102, 474--520.   doi: 10.1515/JGT.2010.052
300. Irreducible linear subgroups generated by pairs of matrices with large irreducible submodules. (with Alice C. Niemeyer and Sabina B. Pannek). Archiv der Math. 98, 105-114.   doi: 10.1007/s00013-012-0359-1
301. Extremely primitive classical groups (with Timothy C. Burness and Akos Seress). J. Pure Appl. Algebra 216, 1580--1610.    doi: 10.1016/j.jpaa.2011.10.028
302. Bounding the size of a vertex-stabiliser in a finite vertex-transitive graph (with Pablo Spiga and Gabriel Verret). J. Combin. Theory, Series B. 102, 797--819.    doi:10.1016/j.jctb.2011.11.004
303. Basic and degenerate pregeometries (with Michael Giudici, and Geoffrey Pearce). Eur. J. Combin. 33, 1178--1189.   doi: 10.1007/s10801-012-0350-8
304. Quotients of incidence geometries, (with Philippe Cara, Alice Devillers, and Michael Giudici). Des. Codes Cryptogr. 64, 105-128.   doi: 10.1007/s10623-011-9488-y
305. Regular semisimple elements and involutions in finite general linear groups of odd characteristic. (with Akos Seress). Proc. Amer. Math. Soc. 140, 3003-3015.   doi: 10.1090/S0002-9939-2012-11491-1
306. Embedding permutation groups into wreath products in product action (with Csaba Schneider). J. Austral. Math. Soc. 92, 127-136.    doi:10.1017/S1446788712000110, arXiv:1108.3611.
307. Quotient-complete arc-transitive graphs (with Carmen Amarra and Michael Giudici). European J. Combin. 33, 1857-1881.    doi:10.1016/j.ejc.2012.04.006
308. Graphs with automorphism groups admitting composition factors of bounded rank (with Laszlo Pyber, Pablo Spiga and Endre Szabo). Proc. Amer. Math. Soc. 140, 2307-2318.    doi: 10.1090/S0002-9939-2011-11100-6
309. Algorithms to identify abundant p-singular elements in finite classical groups. (with Alice C. Niemeyer and Tomasz Popiel). Bull. Austral. Math. Soc. 86, 50-63. doi:10.1017/S0004972712000317, arxiv:1007.2983v4
310. A classification of the strongly regular generalised Johnson graphs (with Andrew D. Cannon and John Bamberg). Annals of Combin. 16, 489-506.   doi: 10.1007/s00026-012-0142-9
311. Basic coset geometries (with Michael Giudici and Geoffrey Pearce). J. Alg. Combin. 36, 561-594.   doi: 10.1007/s10801-012-0350-8
312. Proportions of elements with given 2-part order in finite classical groups of odd characteristic (with Simon Guest). J. Algebra 372, 637-660.   doi: 10.1016/j.jalgebra.2012.09.028
313. Extremely primitive sporadic and alternating groups (with Timothy C. Burness and Akos Seress). Bull. London Math. Soc. 44, 1147-1154.    doi: 10.1112/blms/bds038
314. A new solvability criterion for finite groups (with Silvio Dolfi, R. M. Guralnick, and Marcel Herzog). J. London Math. Soc. 85, 269-281.   doi: 10.1112/jlms/jdr041
315. The proportion of cyclic matrices in maximal reducible matrix algebras. (with Scott Brown, Michael Giudici and Stephen Glasby). J. Algebra 369, 360-368.   doi: 10.1016/j.jalgebra.2012.06.024, arXiv:1105.4078.
316. Proportions of elements with given 2-part order in the symmetric group. (with Simon Guest). J. Group Theory. 15, 717-735.   doi: 10.1515/jgt-2012-0021

2013

317. Local 2-geodesic transitivity and clique graphs (with Alice Devillers, Wei Jin and Cai Heng Li). J. Comb. Theory, Series A. 120, 500-508.   doi: 10.1016/j.jcta.2012.10.004
318. Line graphs and geodesic transitivity. (with Alice Devillers, Wei Jin and Cai Heng Li). Ars. Math. Contemporanea 6, 13-20.   amc.imfm.si/index.php/amc/article/download/248/181, arXiv:1201.4297.
319. Estimation problems and randomised group algorithms. (with Alice C. Niemeyer and Akos Seress). In Probabilistic Group Theory, Combinatorics and Computing, Editors: Alla Detinko, Dane Flannery and Eamonn O'Brien. Lecture Notes in Mathematics, Springer, Berlin, Vol. 2070. Chapter 2, pp. 35-82. ISBN: 978-1-4471-4813-5
320. Neighbour transitivity on codes in Hamming graphs. (with Neil Gillespie). Des. Codes Crypt. 67, 385-393.   doi: 10.1007/s10623-012-9614-5, arXiv:1112.1244.
321. Uniqueness of certain completely regular Hadamard codes. (with Neil Gillespie). J. Comb. Theory, Series A. 120, 1394-1400.    doi: 10.1016/j.jcta.2013.04.006, arXiv:1112.1247. (This paper was ranked number 22 in the Top 25 Hottest Articles in J. Combin. Theory, Series A, June-September 2013.)
322. Symmetric diameter two graphs with affine-type vertex-quasiprimitive automorphism group (with Carmen Amarra and Michael Giudici). Des. Codes Crypt. 68, 127-139.   doi: 10.1007/s10623-012-9644-z
323. Rank 3 transitive decompositions of complete multipartite graphs (with Geoffrey Pearce). Graphs and Combin. 29, 669-680.   doi: 10.1007/s00373-011-1120-4
324. The classification of almost simple 3/2-transitive groups (with John Bamberg, Michael Giudici, Martin Liebeck, and Jan Saxl). Trans. Amer. Math. Soc. 365, 4257-4311.   doi: 10.1090/S0002-9947-2013-05758-3, arXiv:1103.6069.
325. Normal coverings and pairwise generation of finite alternating and symmetric groups. (with Daniela Bubboloni and Pablo Spiga). J. Algebra 390, 199-215.   doi: 10.1016/j.jalgebra.2013.05.017, arXiv:1211.2559.
326. Proportions of r-regular elements in finite classical groups. (with L. Babai, S. Guest and R. A. Wilson). J. London Math. Soc. (2) 88, 202-226.    doi:10.1112/jlms/jdt011, arxiv:1205.1327
327. Locally s-distance transitive graphs and pairwise transitive designs. (with Alice Devillers, Michael Giudici, and Cai Heng Li). J. Combin. Theory, Series A. 120, 1855-1870.    doi:10.1016/j.jcta.2013.07.003, arXiv:1308.0401
328. Elusive codes in Hamming graphs. (with Neil Gillespie and Dan Hawtin). Bull. Austral. Math. Soc. 88, 286-296.   doi: 10.1017/S0004972713000051, arXiv:1208.4455.
329. Coprime subdegrees for primitive permutation groups and completely reducible linear groups. (with Silvio Dolfi, R. M. Guralnick, and Pablo Spiga). Israel J. Math. 195, 745-772.   doi: 10.1007/s11856-012-0163-4, arXiv:1109.6559.

2014

330. Unitals in the Desarguesian projective plane of order 16. (with John Bamberg, Anton Betten and Alfred Wassermann). J. Stat. Planning and Inference 144, 110-122.    doi: 10.1016/j.jspi.2012.10.006
331. Conjectures on the normal covering number of the finite symmetric and alternating groups. (with Daniela Bubboloni and Pablo Spiga). International J. Group Theory. 3, 57-75.    arXiv:1204.2900.
332. Abundant p-singular elements in finite classical groups (with Alice C. Niemeyer and Tomasz Popiel). J. Algebra 408, 189-204.   doi: 10.1016/j.jalgebra.2013.09.021, arXiv:1205.1454.
333. Diagonally neighbour transitive codes and frequency permutation arrays. (with Neil Gillespie). J. Alg. Combin. 39, 733-747.   doi: 10.1007/s10801-013-0465-6, arXiv:1204.2900.
334. On normal 2-geodesic transitive Cayley graphs. (with Alice Devillers, Wei Jin, and Cai Heng Li). J. Alg. Combin. 39, 903-918    doi:10.1007/s10801-013-0472-7
335. Sporadic neighbour-transitive codes in Johnson graphs. (with Max Neunhoeffer). Des. Codes Crypt. 72, 141-152.    doi:10.1007/s10623-013-9853-0,    arXiv:1308.0398.
336. Advances in mathematics and statistics in Western Australia since 1960. (with Andrew P. Bassom, Jennifer Hopwood, J. L. Noakes, and Anthony G. Pakes). J. Royal Soc. of Western Australia 97, 253-260.
337. Neighbour-transitive codes in Johnson graphs. (with Robert A. Liebler). Des. Codes Crypt. 73, 1-25.    doi:10.1007/s10623-014-9982-0,    arXiv:1310.2911
338. Elements in finite classical groups whose powers have large 1-Eigenspaces (with Alice C. Niemeyer). Disc. Math. and Theor. Comp. Sci. 16, 303-312.    arXiv:1405.2385.
339. Centraliser Codes. (with Adel Alahmadi , Suat Karadeniz, Bahattin Yildiz, and Patrick Sole). Linear Algebra and its Applications 463, 1-10.    dx.doi.org/10.1016/j.laa.2014.08.024

2015

340. Generation of finite classical groups by pairs of elements with large fixed point spaces, (with Akos Seress and Sukru Yalcinkaya). J. Alg. 421, 56-101.    doi: 10.1016/j.jalgebra.2014.08.020,    arXiv: 1403.2057
     (This paper was ranked number 2 in the TOP25 Hottest Articles downloaded in the period October-December 2014 within the Journal of Algebra.)
341. Finite primitive permutation groups and regular cycles of their elements. (with Michael Giudici and Pablo Spiga). J. Alg. 421, 27-55.    doi: 10.1016/j.jalgebra.2014.08.015,    arXiv: 1311.3906
342. Affine transformations of finite vector spaces with large orders or few cycles. (with Simon Guest, Joy Morris, and Pablo Spiga). J. Pure and Applied Alg. 219, 308-330.    doi:10.1016/j.jpaa.2014.04.023,    arXiv: 1306.1368
343. Triple factorisations of the general linear group and their associated geometries. (with S. Hassan Alavi and John Bamberg). Linear Algebra Appn. 469, 169-203.    doi:10.1016/j.laa.2014.11.018    arXiv:1405.5276.
344. Pairwise transitive 2-designs. (with Alice Devillers). J. Comb. Theory, Series A. 132, 246-270.    doi:10.1016/j.jcta.2015.01.002    arXiv:1405.3030.    Ninth in "Top 25 articles down-loaded January-March 2015" from JCTA; and 13th in this list for April-June 2015.
345. Locally triangular graphs and rectagraphs with symmetry. (with John Bamberg, Alice Devillers, Joanna Fawcett). J. Comb. Theory, Series A. 133, 1-28.    doi:10.1016/j.jcta.2015.01.006    arXiv: 1407.8312    6th most downloaded article from JCTA in the 90 days preceding April 24, 2015.
346. Identifying long cycles in finite alternating and symmetric groups acting on subsets (with Steve Linton, and Alice C. Niemeyer). J. Algebra Comb. Discrete Appl. 2, 117-149.    doi: 10.13069/jacodesmath.28239    arXiv:1205.6586.
347. Twisted permutation codes. (with Neil Gillespie and Pablo Spiga). J. Group Theory. 18, 407-433.    doi: 10.1515/jgth-2014-0049    arXiv:1402.5305.
348. On geodesic transitive graphs. (with Alice Devillers, Wei Jin, and Cai Heng Li). Discrete Math. 338, 168-173.    doi: 10.1016/j.disc.2014.11.005    arXiv:1110.2235
349. Nilpotent-independent sets and estimation in matrix algebras. (with Brian Corr and Tomasz Popiel). LMS Journal of Computation and Mathematics 18, 404-418.    doi: 10.1112/S146115701500008X    arXiv:1405.1795.
350. Normal edge-transitive cayley graphs of Frobenius groups. (with Brian P. Corr). J. Alg. Combin. 42, 803-827.    doi: 10.1007/s10801-015-0603-4.   arXiv:1401.1883.
351. Finite 2-geodesic transitive graphs of prime valency. (with Alice Devillers, Wei Jin, and Cai Heng Li). J. Graph Theory 80, 18-27.    doi:10.1002/jgt.21835    arXiv: 1407.8312.
352. On the maximum orders of elements of finite almost simple groups and primitive permutation groups. (with Simon Guest, Joy Morris and Pablo Spiga). Trans. Amer. Math. Soc. 367, 7665-7694.    doi: 10.1090/S0002-9947-2015-06293-X    arXiv:1301.5166.
353. Decomposing modular tensor products: "Jordan partitions", their parts and p-parts. (with S. P. Glasby and Binzhou Xia). Israel J. Math. 209, 215-233.   doi:10.1007/s11856-015-1217-1    arXiv: 1403.4685

2016

354. Decomposing modular tensor products, and periodicity of `Jordan partitions'. (with S. P. Glasby and Binzhou Xia). J. Alg. 450, 570-587.   doi: 10.1016/j.jalgebra.2015.11.025    arXiv:1401.2748
355. Arithmetic results on orbits of linear groups. (with Michael Giudici, Martin W. Liebeck, Jan Saxl and Pham Huu Tiep). Trans. Amer. Math. Soc. 368, 2415-2467.    doi: 10.1090/tran/6373.   arXiv:1203.2457.
356. Finite edge-transitive oriented graphs of valency four: a global approach. (with Jehan A. Al-bar, Ahmad N. Al-kenani, Najat Mohammad Muthana, and Pablo Spiga). Electr. J. Combin. 23 (1), #P1.10.    arXiv: 1507.02170
357. Generalised quadrangles and transitive pseudo-hyperovals. (with John Bamberg, Stephen Glasby, Tomasz Popiel). J. Comb. Designs. 24, 151-164.    doi:10.1002/jcd.21411    arXiv: 1406.6445.
358. Finite primitive permutation groups containing a permutation having at most four cycles. (with Simon Guest, Joy Morris, and Pablo Spiga). J. Alg. 454, 233-251.    doi:10.1016/j.jalgebra.2015.12.032    arXiv:1307.6881.
359. Constructing flag-transitive, point-imprimitive designs. (with Peter J. Cameron). J. Alg. Combin. 43, 755-769.    doi:10.1007/s10801-015-0591-4,    arXiv: 1408.6598
360. Two-sided group digraphs and graphs. (with Moharram Iradmusa). J. Graph Theory 82, 279-295.   doi:10.1002/jgt.21901    arXiv: 1401.2741
361. Base sizes of imprimitive linear groups and orbits of general linear groups on spanning tuples. (with Joanna Fawcett). Arch. der Math. 106, 305-314.    doi:10.1007/s00013-016-0890-6    arXiv: 1602.04913
362. Obituary: J. P. O. (Phil) Silberstein. AustMS. Gazette 43 (Number 2, May 2016), 112-113.
363. A characterisation of weakly projective amalgams related to A16 and the sporadic simple groups M24 and He. (with Michael Giudici, Alexander Ivanov and Luke Morgan). J. Alg. 460, 340-365.    doi:10.1016/j.jalgebra.2016.04.008    arXiv:1405.3416.
364. Entry faithful 2-neighbour transitive codes. (with Neil Gillespie, Michael Giudici, Daniel R. Hawtin). Des. Codes Crypt. 79, 549-564.    doi:10.1007/s10623-015-0069-3,    arXiv: 1412.7290
365. On the maximal number of coprime subdegrees in finite primitive permutation groups. (with Silvio Dolfi, R. M. Guralnick, and Pablo Spiga). Israel J. Math. 216, 107-147.    doi:10.1007/s11856-016-1405-7,    arXiv:1203.2728.
366. Inclusions of innately transitive groups into wreath products in product action with applications to 2-arc transitive graphs. (with Cai Heng Li and Csaba Schneider). J. Pure and Applied Alg. 220, 2683-2700.    doi:10.1016/j.jpaa.2015.12.005,    arXiv: 1507.01049.

2017

367. On the complexity of multiplication in the Iwahori--Hecke algebra of the symmetric group. (with Alice C. Niemeyer, and Goetz Pfeiffer). J. Symbolic Comp. 80, 817-832.    doi:10.1016/j.jsc.2016.09.001    arxiv: 1512.05319
368. Point-primitive generalised hexagons and octagons. (with John Bamberg, Stephen P. Glasby, Tomasz Popiel and Csaba Schneider). J. Comb. Theory, Series A. 147, 186-204.    doi:10.1016/j.jcta.2016.11.008    arXiv: 1410.3423.
369. Editorial to this special issue in memory of Laci Kovacs. (with Stephen Glasby (Managing editor), Dane Flannery and Ralph Stohr). J. Aust. Math. Soc. 102, 1-2.    doi:10.1017/S144678871600046X
370. The contribution of L. G. Kovacs to the theory of permutation groups. (with Csaba Schneider). J. Aust. Math. Soc. 102, 20-33.    doi:10.1017/S1446788715000385    arXiv:1503:00356.
371. Primitive prime divisors and the n-th cyclotomic polynomial. (with S. P. Glasby, Frank Lubeck, and Alice C. Niemeyer). J. Aust. Math. Soc. 102, 122-135.    doi:10.1017/S1446788715000269    arXiv:1504:02598.
372. Some infinite permutation groups and related finite linear groups. (with Peter M. Neumann and Simon Smith). J. Aust. Math. Soc. 102, 136-149.    doi:10.1017/S1446788716000343    arxiv: 1511.04332.
373. A normal quotient analysis for some families of oriented four-valent graphs. (with Jehan Al-Bar, Ahmad Al-kenani, and Najat Muthana). Ars Math. Contemporanea, 12, 361-381.    arxiv: 1612.06576
374. Affine primitive symmetric graphs of diameter two. (with M. Carmen Amarra and Michael Giudici). Ars Math. Contemporanea, 13, 137-165.    arxiv: 1601.07663
375. Obituary: Wendy Robertson. (with Stephen A. Saxon). Gazette, Aust. Math. Society, 44, March 2017, 29-31.   
376. New characterisations of the Nordstrom-Robinson codes. (with Neil Gillespie). Bull. London Math. Soc. 49, 320-330.    doi: 10.1112/blms.12016    arXiv:1205.3878v2.
377. Finite edge-transitive oriented graphs of valency four with cyclic normal quotients. (with Jehan A. Al-bar, Ahmad N. Al-kenani, and Najat Mohammad Muthana). J. Alg. Combin. 46, 109-133.    doi: 10.1007/s10801-017-0749-3.    arXiv: 1612.06024
378. Point primitive, line-transitive generalised quadrangles of holomorph type. (with John Bamberg and Tomasz Popiel). J. Group Theory 20, 269-287.    doi: 10.1515/jgth-2016-0042    arXiv: 1508.02295.
379. Twisted centralizer codes. (with Adel Alahmadi, Stephen P. Glasby, Patrick Sole and Bahattin Yildiz). Linear Algebra and its Applications 524, 235-249.    doi: 10.1016/j.laa.2017.03.011    arXiv: 1607.04079.
380. On the dimension of twisted centralizer codes. (with Adel Alahmadi, Stephen P. Glasby).  Finite Fields and their Applications 48, 43-59.    doi:  10.1016/j.ffa.2017.07.005     arXiv: 1607.05838.
381. Conway's groupoid and its relatives, (with Nick Gill, Neil I. Gillespie, and Jason Semeraro). Contemporary Math.  694, 91-110. In: "Finite Simple Groups: Thirty Years of the Atlas and Beyond" (Eds: Manjul Bhargava, Robert Guralnick, Gerhard Hiss, Klaus Lux and Pham Huu Tiep).    arxiv: 1604.04429.

2018

382. Primitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5. (with J. B. Fawcett, M. Giudici, C. H. Li, G. Royle, G. Verret)   J. Combin. Theory, Series A 157, 247-266.    doi: 10.1016/j.jcta.2018.02.008    arXiv: 1606.02097
383. Strong involutions in finite special linear groups of odd characteristic. (with John D. Dixon and Akos Seress).   J. Alg.  498, 413-447.   doi: 10.1016/j.jalgebra.2017.11.047
384. Symmetric graphs with complete quotients, (With A. Gardiner).  Australasian J. Combin.  71(3), 403-426.    arXiv: 1403.4387.
385. Primary cyclic matrices in irreducible matrix subalgebras. (with Brian P. Corr). J. Group Theory. 21(4), 667-694.   doi: 10.1515/jgth-2018-0012    arXiv:1401.1598.
386. Increasing the minimum distance of codes by twisting. (with Marzieh Akbari, and Neil Gillespie).  Electronic J. Combin. 25(3),  #P3.36.    arxiv: 1511.07154.
387. Obituary: Malcolm Hood. (with Neville Fowkes). Gazette, Aust. Math. Society, 45, Number 1, March 2018, 31-34.   
388. Australia and the International Congress of Mathematicians. (with Benjamin Burton, Nalini Joshi, and Guillermo Pineda-Villavicencio).  Gazette, Aust. Math. Society, 45, Number 4,  September 2018, 202-206.
389. Construction of the outer automorphism of S6 via a complex Hadamard matrix. (with Neil Gillespie and Padraig O Cathain). Math Comput. Sci. 12, 453-458.  doi:10.1007/s11786-018-0382-0  arxiv: 1805.01273
390. Conway groupoids, regular two-graphs, and supersimple designs. (with Nick Gill, Neil I. Gillespie, and Jason Semeraro). Seminaire Lotharingien de Combinatoire. 79 Article B79b.    arxiv: 1510.06680
391. Group factorisations, uniform automorphisms and permutation groups of simple diagonal type. (with Csaba Schneider). Israel J. Math.  228, 1001-1023. doi:10.1007/s11856-018-1790-1       arXiv: 1611.01103.
392. Bounding the composition length of primitive permutation groups and completely reducible linear groups. (with Stephen Glasby, Kyle Rosa and Gabriel Verret), J. London Math. Soc.  98, 557-572.  doi: 10.1112/jlms.12138.    arXiv: 1712.05520

2019

393. On the parameters of intertwining codes (with Stephen Glasby). Ars Math. Contemporanea. 16, 49-58.   doi: 10.26493/1855-3974.1547.454    arXiv: 1711.04104
394. The covering radii of the 2-transitive unitary, Suzuki, and Ree groups (with John Bamberg and Binzhou Xia).   J. Group Theory. 22, 103-117.  doi: 10.1515/jgth-2018-0039.    arXiv: 1711.01868
395. Generalised Paley graphs with a product structure, (with Geoffrey Pearce),   Annals of Combin. 23, 171-182.   doi: 10.1007/s00026-019-00423-0     arXiv: 1612.06609
396. Simple groups, product actions, and generalized quadrangles. (with John Bamberg and Tomasz Popiel). Nagoya Math. J.  234, 87-126.    doi: 10.1017/nmj.2017.35.      arXiv: 1702.07308.
397. 'Norman involutions' and tensor products of unipotent Jordan blocks. (with S. P. Glasby and Binzhou Xia). Israel J. Math. 230, 153-181.   doi: 10.1007/s11856-018-1812-z   arXiv: 1711.06860
398. Derangement action digraphs and graphs. (with Moharram Iradmusa).  European J. Combin. 80, 361-372.   doi:10.1016/j.ejc.2018.10.005.  arxiv: 1804.01384
399. Biquasiprimitive oriented graphs of valency four. (with Nemanja Poznanovic).   In 2017 MATRIX Annals.  Editors: David Wood, Jan de Gier, Cheryl E. Praeger and Terence Tao.     Springer Nature Switzerland AG, 2019.    pp. 337--341.
400. The classification of 3/2-transitive permutation groups and 1/2-transitive linear groups. (with Martin W. Liebeck and Jan Saxl). Proc. Amer. Math. Soc. 147, 5023-5037.   doi: 10.1090/proc/13243   [Accepted 15 April, 2016. Proofs January 2019!!]   arXiv: 1412.3912

2020

401. Minimal binary 2-neighbour-transitive codes. (with Daniel R. Hawtin). J. Combin. Theory Series A 171, 105-173.   doi: 10.1016/j.jcta.2019.105173   ArXiv:  1807.09831
402. Involution centralisers in finite unitary groups of odd characteristic. (with S. P. Glasby and Colva Roney-Dougal).  J. Algebra 545, 245-299.   doi: 10.1016/j.jalgebra.2019.09.009 arXiv: 1812.01362
403. Linear bounds for the normal covering number of the symmetric and alternating groups. (with Daniela Bubboloni and Pablo Spiga). Monatsh. Math. 191, 229-247.  doi:10.1007/s00605-019-01287-5    arXiv: 1903.05187
404. 2-Neighbour-Transitive Codes with Small Blocks of Imprimitivity. (with Neil I. Gillespie and Daniel R. Hawtin). Electronic J. Combin. 27, P1.42,  Pub. 29-01-2020  doi:10.37236/8040,   arXiv: 1806.10514
405. Permutations with orders coprime to a given integer. (with John Bamberg, Stephen Glasby, Scott Harper).  Electronic J. Combin. 27, P1.6,  Pub. 10-01-2020  doi:10.37236/8678,   ArXiv:  1807.10450
406. On k-connected-homogeneous graphs. (with Alice Devillers, Joanna Fawcett, and Jin-Xin Zhou).   J. Combin. Theory Ser. A  173,  Article 105234, doi:10.1016/j.jcta.2020.105234   arxiv:  1805.03115
407. Symmetries of biplanes, (with Seyed Hassan Alavi and Ashraf Daneshkah). Designs, Codes and Crypt.  Issue 11/2020.  doi: 10.1007/s10623-020-00784-1  arXiv:  2004.04535.
408. A path-deformation framework for determining weighted genome rearrangement distance. (with Sangeeta Bhatia, Attila Egri-Nagy, Andrew Francis, Volker Gebhardt, and Stuart Serdoz).   Frontiers in Genetics, section Evolutionary and Population Genetics 11:1035, Open Access.  (in a special issue on Algebraic and Geometric Phylogenetics).   doi: 10.3389/fgene.2020.01035,  arxiv.  2008.05560
409. A graph-theoretic description of scale-multiplicative semigroups of automorphisms. (with Jacqui Ramagge and George Willis).  Israel J. Math. 237, 221-265. doi: 10.1007/s11856-020-2005-0,    arXiv: 1710.00439
410. Bounds for finite semiprimitive permutation groups: order, base size, and minimal degree. (with Luke Morgan and Kyle Rosa). Proc. Edinburgh Math. Soc. 63, 1071-1091.  doi:  10.1017/S0013091520000346    arxiv: 1806.00941
411. Conjugacy class sizes in arithmetic progression. (with Mariagrazia Bianchi and S. P. Glasby).  J. Group Theory. 23, 1039-1056.  doi: 10.1515/jgth-2020-0046  arxiv:  2003.03906

2021

412. On flag-transitive 2-(v,k,2) designs. (with Alice Devillers, Hongxue Liang, and Binzhou Xia).   J. Combin. Theory, Series A  177   Article 105309.    doi: 10.1016/j.jcta.2020.105309,   arxiv: 2001.04728
     
413. Normal quotients of diameter at most two of finite three-geodesic-transitive graphs, (with Wei Jin). J. Combin. Theory Ser. A.  178,   Article 105349,  doi:10.1016/j.jcta.2020.105349,   ArXiv: 1904. 01204
414. Finite totally k-closed groups. (with Dmitry Churikov). Trudy Instit. Mat. i Mek. UrO RAN   27, No.1,   240-245.   doi: 10.21538/0134-4889-2021-27-1-240-245   arxiv:   2012.01773
415. On flag-transitive imprimitive 2-designs. (with Alice Devillers). J. Combin. Designs 29 (8),   552-574   doi: 10.1002/jcd.21784     arxiv: 2007.10613
416. Codes and designs in Johnson graphs with high symmetry,  in  Surveys in Combinatorics 2021,    Cambridge University Press,  pp. 321-342.    doi.org/10.1017/9781009036214  
417. Four-valent oriented graphs of biquasiprimitive type, (with Nemanja Poznanovic).   Algebraic Combin.   4,   409-434.   doi: 10.5802/alco.161  arXiv: 1902.10853
418. Foreword to the report Impact of COVID-19 on women in the STEM workforce | Asia–Pacific     Hyperlink     Australian Academy of Science, 2021 
419. Circulant association schemes on triples. (with Prabir Bhattacharya). New Zealand Journal of Mathematics  52, 153-165. doi:10.53733/106   Arxiv: 2104.02928  
420. Generating infinite digraphs by derangements. (with Daniel Horsley and Moharram Iradmusa). Quarterly J. Math. 72, 961-974.  doi:10.1093/qmath/haaa055  arxiv: 1909.03675
421. Most permutations power to a cycle of small prime length, (with Stephen Glasby and William R. Unger). Proc. Edinburgh Math. Soc. 64, 234-246. doi: 10.1017/S0013091521000110  Arxiv: 1911.12613.
422. Generalised shuffle groups, (with Carmen Amarra and Luke Morgan). Israel J. Math. 244, 807-856.  doi: 10.1007/s11856-021-2194-1   ArXiv:  1908.05128.
423. Point-primitive generalised hexagons and octagons and projective linear groups, (with Stephen P. Glasby and Emilio Pierro). Ars Math. Contemporanea.  21, #P2.10. doi: 10.26493/1855-3974.2049.3db  Arxiv: 2012.04189
424. Partial linear spaces with a rank 3 affine primitive group of automorphisms, (with John Bamberg, Alice Devillers and Joanna B. Fawcett). J. London Math. Soc. 104, 1011-1084.  doi: 10.1112/jlms.12454  ArXiv: 1908.11110.

2022

425. Women in Mathematics Special Interest Group of the Australian Mathematical Society, (with Lesley A. Ward).  In: Fifty Years of Women in Mathematics.   Eds: Janet L. Beery, Sarah J. Greenwald, and Cathy Kessel.   Association for Women in Mathematics Series 28, Springer Nature Switzerland AG,   pp. 1029-1049.    doi.org/10.1007/978-3-030-82658-1_88
426. The graphs with a symmetrical Euler cycle. (with Jiyong Chen, Caiheng Li, and Shu-Jiao Song).    The Art of Discrete and Applied Mathematics (ADAM).5, #P3.03. doi: 10.26493/2590-9770.1464.7cd   ArXiv 2111.02615
427. Obituary for Peter M. Neumann. (with Martin Liebeck). Bull. London Math. Soc. 54, 1487-1514   doi: 10.1112/blms.12690  [free access online]
428. The probability of spanning a classical space by two non-degenerate subspaces of complementary dimension. (with S. P. Glasby and Alice C. Niemeyer). Finite Fields and Applications. 82, 102055  doi.org/10.1016/j.ffa.2022.102055  ArXiv:   2109.10015
429. Random generation of direct sums of finite non-degenerate subspaces. (with Stephen Glasby and Alice C. Niemeyer). Linear Algebra and its Applications. 649, 408-432  doi.org/10.1016/j.laa.2022.05.016  Arxiv:  2111.02198
430. Orbits of Sylow subgroups of finite permutation groups. (with John Bamberg, Alexander Bors, Alice Devillers, Michael Giudici, and Gordon F. Royle).   J. Alg. 607, 107-133 doi: 10.1016/j.algebra.2021.06.017   Arxiv:  2102.00448  
431. Normal edge-transitive Cayley graphs and Frattini-like subgroups. (with Behnam Khosravi). J. Alg. 607, 473-498   doi: 10.1016/j.jalgebra.2021.03.035  Arxiv: 2102.10876
432. Introduction, Jan Saxl, 5 June 1948 - 2 May 2020,  (with Robert Guralnick, Martin Liebeck, and Donna Testerman),   J. Alg. 607, 1-4.  doi: 10.1016/j.algebra.2022.04.006 
433. The geometry of diagonal groups. (with R. A.  Bailey, Peter J. Cameron, and Csaba Schneider).  Trans. Amer. Math. Soc. 375, 5259-5311  doi: 10.1090/tran/8507. Arxiv:  2007.10726
434. Delandtsheer-Doyen parameters for block-transitive point-imprimitive 2-designs. (with Carmen Amarra and Alice Devillers). Des. Codes Crypt.  90, 2205-2221  doi: 10.1007/s10623-022-01015-5   Arxiv: 2009.00282
435. Diagonal groups and arcs over groups. (with R. A. Bailey, Peter J. Cameron, and Michael Kinyon). Des. Codes Crypt. 90, 2269-2280   doi: 10.1007/s10623-021-00907-2  Arxiv:  2010.16338

2023

436. Block-transitive designs based on grids. (with Hassan Alavi, Ashraf Daneshkhah, and Alice Devillers).   Bull. London Math. Soc.   55, 592-610   doi: 10.1112/blms.12744  arxiv:  2201.01143
437. Vertex-primitive s-arc-transitive digraphs admitting a Suzuki or Ree Group. (with Lei Chen and Michael Giudici).   European J. Combin.  112, 103729. doi: 10.1016/j.ejc.2023.103729  Arxiv: 2109.10508
438. Sequences of linear codes where the rate times distance grows rapidly. (with Faezeh Alizadeh and S. P. Glasby). J. Algebra, Combinatorics, Discrete Structures and Applications.  10, 105-113.   arXiv: 2110.01277
439. Automorphism orbits and element orders in finite groups: almost-solubility and the Monster, (with Alexander Bors, and Michael Giudici).    Memoirs Amer. Math. Soc.  287,   doi:  978-1-4704-6544-5.   arXiv: 1910.11781.   In addition:   "Documentation for the GAP code file OrbOrd.txt" associated with this paper is available at   arXiv: 1910.12570.
440. Rank three innately transitive permutation groups and related 2-transitive groups. (with Anton Baykalov and Alice Devillers; in memory of Jacques Tits). Innov. Incidence Geom. 20, 135-175. doi: 10.2140/iig.2023.20.135     Arxiv:   2212.02574
441. Analysing flag-transitive point-imprimitive 2-designs. (with Alice Devillers). Algebraic Combinatorics,  6, 1041-1055.   doi: 10.5802/alco.297    Arxiv:   2208.12455
442. Subgroups of Classical Groups that are Transitive on Subspaces. (with Michael Giudici and Stephen Glasby). J. Alg.  636, 804-868.    doi: 10.1016/j.algebra.2023.08.032   arxiv:   2012.01489
443. A family of 2-groups and an associated family of semisymmetric, locally 2-arc-transitive graphs. (with Dan Hawtin and Jin Xin Zhou; in memory of Zvonimir Janko).  Glasnik Matematički. 58, No 2., 259-287.   (ISSN 0017-095X (Print), ISSN 1846-7989 (Online), DOI: 10.3336/gm, web.math.pmf.unizg.hr/glasnik/#glasnik)   Arxiv:  2303.00305
444. Tournaments and Even Graphs are Equinumerous. (with Gordon Royle, Alice Devillers, Saul Freedman and Stephen Glasby). J. Alg. Comb.  57, 515-524  Arxiv: 2204.01947

2024

445. Block-transitive 2-designs with a chain of imprimitive point-partitions (with Alice Devillers and  Carmen Amarra). J. Combin. Theory Ser. A.  205,  105866   ArXiv:  2302.11655
446. Total closure for permutation actions of finite nonabelian simple groups (with Saul Freedman and Michael Giudici),   Monatshefte fur Mathematik.  203, 323-340   doi:10.1007/s00605-023-01822-5     Arxiv:   2206.02347
447. On the proportion of elements of prime order in finite symmetric groups, (with Enoch Suleiman).   International J. Group Theory. 13, No 3., 251-256.   doi: 10.22108/ijgt.2023.135509.1810  ArXiv: 2210.15355
448. Women working in mathematics in Australian universities, and Women in Mathematics Special Interest Group (WIMSIG), (with Lesley A. Ward).  Aust. Math. Soc. Gazette. 51 (March 2024)  pp. 22-63.

PUBLISHED ONLINE

449. Totally 2-closed finite groups with trivial Fitting subgroup. (with Majid Arezoomand, Mohammad Iranmanesh, and Gareth Tracey).   Bull. Math. Sciences   doi: 10.1142/S1664360723500042   Published Online 18 March, 2023. arxiv: 2111.02253
450. Using mixed dihedral groups to construct normal Cayley graphs and a bipartite 2-arc-transitive graph which is not a Cayley graph. (with Dan Hawtin and Jin Xin Zhou).   J. Alg. Comb.  doi: 10.1007/s10801-024-01300-7   Published online 23 February, 2024. Arxiv:   2304.10633

TO APPEAR

451. Group actions on codes in graphs (with Dan Hawtin). Invited chapter. Accepted 25 Octber 2023.  Arxiv: ??
452. Basic Tetravalent Oriented Graphs of Independent-Cycle Type (with Nemanja Poznanovic).   Ars. Math. Contemporanea  Accepted January 29, 2024. ArXiv: ??
453. Chain-imprimitive, flag-transitive 2-designs (with Alice Devillers and  Carmen Amarra). Des. Codes Crypt.  Accepted  27 March, 2024. ArXiv: 2401.13885
454. Basic Tetravalent Oriented Graphs with Cyclic Normal Quotients  (with Nemanja Poznanovic).  J. Combin. Theory Ser. A. Accepted March 28, 2024. ArXiv: 2401.08907

SUBMITTED

454. Characterisation of a family of neighbour transitive codes. (with Neil Gillespie). Submitted May 21, 2014.    ArXiv: 1405.5427
455. On locally n x n grid graphs, (with Carmen Amarra and Wei Jin). Submitted September 15, 2023.  ArXiv: 1903.07931
456. Locally Finite Vertex-Rotary Maps and Coset Graphs with Finite Valency and Finite Edge Multiplicity. (with  Cai Heng Li and Shu Jiao Song). Submitted 12 June 2022. Arxiv:   2202.07100
457. Codes and designs in Johnson graphs from symplectic actions on quadratic forms. (with   John Bamberg, Alice Devillers, and Mark Ioppolo). Submitted 13 February 2022. Arxiv:   2202.06237
458. A characterisation of edge-affine 2-arc-transitive covers of K_{2^n,2^n}. (with Dan Hawtin and Jin Xin Zhou). Submitted December 1, 2022. ArXiv: 2211.16809
459. Bipartite q-Kneser graphs and two-generated irreducible linear groups, (with S, P.Glasby and Alice C. Niemeyer).   Submitted   February 13, 2024.   Arxiv: 2312.05529
460. Bounding s for vertex-primitive s-arc-transitive digraphs of alternating and symmetric groups. (with Junyan Chen, Lei Chen, Michael Giudici, Jing Jian Li, and Binzhou Xia).   Submitted 28 February 2024.   Arxiv: 2111.06579v2

PUBLISHED ONLY ON ARXIV

1. Classification of a family of completely transitive codes. (with Neil Gillespie and Michael Giudici). uploaded to the math arXiv October 2012. arXiv:1208.0393v2
2. Straight-line programs with memory and matrix Bruhat decomposition. (with Alice C. Niemeyer and Tomasz Popiel). uploaded to the math arXiv May 2013. arXiv:1305.5617.
3. The Structure of Elusive Codes in Hamming Graphs. (withg Neil I. Gillespie and Daniel R. Hawtin).    arXiv:1404.0950
4. Completely transitive designs. (with Chris Godsil), manuscript from 1997, uploaded to the math arXiv May 2014.    arXiv: 1405.2176