Publications: R. M. Bryant
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1. | `On some varieties of groups', Bull. London
Math. Soc. 1 (1969), 60-64. |
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2. | (with M. B. Powell) `Two-variable laws for PSL(2,5)',
J. Austral. Math. Soc. 10 (1969), 499-502. |
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3. | (with R. A. Bryce and B. Hartley) `The formation
generated by a finite group', Bull. Austral. Math. Soc. 2 (1970),
347-357. |
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4. | `On join varieties of groups', Math. Z. 119 (1971),
143-148. |
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5. | `On S-critical groups',
Quart. J. Math. 22
(1971), 91-101. |
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6. | `Finite splitting groups in varieties of groups',
Quart. J. Math. 22 (1971), 169-172. |
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7. | (with L. G. Kovács) `A note on generalized
characters', Bull. Austral. Math. Soc. 5 (1971), 265-269. |
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8. | `On a conjecture concerning the reconstruction of
graphs', J. Combinatorial Theory (B) 11 (1971), 139-141. |
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9. | `On the laws of certain linear groups', J. London
Math. Soc. (2) 4 (1971), 309-313. |
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10. | (with M. R. Vaughan-Lee) `Soluble varieties of Lie algebras',
Quart. J. Math. 23 (1972), 107-112. |
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11. | `On locally finite varieties of groups',
Proc. London Math. Soc. (3) 24
(1972), 395-408. |
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12. | (with L. G. Kovács) `The skeleton of a variety of groups',
Bull. Austral. Math. Soc. 6 (1972), 357-378. |
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13. | (with L. G. Kovács) `Tensor products of representations of
finite groups', Bull. London Math. Soc. 4 (1972), 133-135. |
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14. | `On the laws of the variety SA',
J. Austral. Math. Soc. 14 (1972), 364-367. |
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15. | `Some infinitely based varieties of groups', J. Austral.
Math. Soc. 16 (1973), 29-32. |
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16. | (with M. F. Newman) `Some finitely based varieties of groups',
Proc. London Math. Soc. (3) 28 (1974), 237-252. |
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17. | `Characteristic subgroups of free groups', Proc. Second
Internat. Conf. Theory of Groups, Canberra 1973 (Springer,
Berlin, 1974), 141-149. |
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18. | `A note on modules over a finite ring', J. London Math. Soc.
(2) 11 (1975), 191-194. |
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19. | `Well-quasi-ordered classes of groups', J. Algebra 43 (1976),
670-685. |
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20. | `The verbal topology of a group', J. Algebra 48 (1977),
340-346. |
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21. | (with L. G. Kovács) `Lie representations and groups of prime
power order', J. London Math. Soc. (2) 17 (1978), 415-421. |
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22. | (with J. R. J. Groves) `Wreath products and ultraproducts of
groups', Quart. J. Math. 29 (1978), 301-308. |
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23. | (with T. Yen) `Sylow subgroups of locally finite CZ-groups',
Arch. Math. 31 (1978), 117-119.
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24. | `A question concerning CZ-groups', J. Algebra 56 (1979),
282-286. |
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25. | (with J. S. Wilson) `On locally finite CZ-groups', Quart. J.
Math. 30 (1979), 265-270. |
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26. | `Groups with the minimal condition on centralizers',
J. Algebra 60 (1979), 371-383. |
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27. | (with B. Hartley) `Periodic locally soluble groups with the
minimal condition on centralizers', J. Algebra 61 (1979), 328-334. |
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28. | `The laws of finite pointed groups', Bull. London Math.
Soc. 14 (1982), 119-123. |
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29. | (with C. K. Gupta) `Characteristic subgroups of free
centre-by-metabelian groups', J. London Math. Soc. (2) 29
(1984), 435-440. |
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30. | (with J. R. J. Groves) `Algebraic groups of automorphisms of
nilpotent groups and Lie algebras', J. London Math. Soc. (2)
33 (1986), 453-466. |
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31. | `Automorphism groups of nilpotent Lie algebras', J. London
Math. Soc. (2) 36 (1987), 257-274. |
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32. | (with C. K. Gupta) `Automorphisms of free nilpotent groups',
Arch. Math. 52 (1989), 313-320. |
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33. | (with O. Macedonska) `Automorphisms of relatively free
nilpotent groups of infinite rank', J. Algebra 121 (1989), 388-398. |
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34. | (with M. Boffa) `Les groupes linéaires vérifiant une
identité monoidale', C. R. Acad. Sci. Paris Sér. I 308
(1989), 127-128. |
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35. | (with A. Papistas) `Automorphism groups of nilpotent groups',
Bull. London Math. Soc. 21 (1989), 459-462. |
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36. | (with C. K. Gupta, F. Levin and H. Y. Mochizuki) `Non-tame
automorphisms of free nilpotent groups', Comm. Algebra 18
(1990), 3619-3631. |
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37. | (with J. R. J. Groves) `On automorphisms of relatively free
groups', J. Algebra 137 (1991), 195-205. |
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38. | `On the fixed points of a finite group acting on a free Lie
algebra', J. London Math. Soc. (2) 43 (1991), 215-224. |
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39. | (with J. R. J. Groves) `Automorphisms of free metabelian groups
of infinite rank', Comm. Algebra 20 (1992), 783-814. |
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40. | `Characteristic subgroups of relatively free groups', Bull.
Austral. Math. Soc. 46 (1992), 497-507. |
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41. | `Symmetric powers of representations of finite groups',
J. Algebra 154 (1993), 416-436. |
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42. | (with C. K. Gupta) `Automorphisms of free nilpotent-by-abelian
groups', Math. Proc. Cambridge Philos. Soc. 114 (1993), 143-147. |
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43. | (with V. Drensky) `Obstructions to lifting automorphisms of
free algebras', Comm. Algebra 21 (1993), 4361-4389. |
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44. | (with V. Drensky) `Dense subgroups of the automorphism groups
of free algebras', Canad. J. Math. 45(6) (1993), 1135-1154.
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45. | (with R. Stöhr and R. Zerck) `Metabelian Lie powers of
group representations', J. Austral. Math. Soc. (Ser. A) 56 (1994),
145-168. |
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46. | (with A. I. Papistas) `Automorphisms in varieties of groups',
J. Algebra 171 (1995), 258-271. |
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47. | (editor with B. Hartley, G. M. Seitz and A. V. Borovik) `Finite
and Locally Finite Groups', Kluwer, Dordrecht, 1995. |
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48. | `Groups acting on polynomial algebras', in Finite and Locally
Finite Groups, pp. 327-346, (eds) B. Hartley, G. M. Seitz, A. V. Borovik
and R. M. Bryant, Kluwer, Dordrecht, 1995. |
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49. | (with L. G. Kovács and G. R. Robinson) `Transitive
permutation groups and irreducible linear groups', Quart. J. Math.
46 (1995), 385-407. |
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50. | (with P. D. Foy) `The formation generated by a finite group',
Rend. Sem. Mat. Univ. Padova 94 (1995), 215-225. |
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51. | `Automorphisms of
countable structures' in Proceedings of the Seventh National Symposium
of the Turkish Mathematical Society, Bilkent University, Ankara, 1994,
pp.1-7 (Bilkent University, Ankara, 1996). |
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52. | (with R. Stöhr) `Fixed points of automorphisms of free Lie
algebras', Arch. Math. 67 (1996), 281-289. |
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53. | (with D. M. Evans) `The small index property for free groups and
relatively free groups', J. London Math. Soc. (2) 55 (1997),
363-369. |
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54. |
`Cyclic groups acting on free Lie algebras', Geometry and Cohomology in
Group Theory, 39-44, edited by P. H. Kropholler, G. A. Niblo and
R. Stöhr, London Mathematical Society Lecture Note Series 252,
Cambridge University Press, 1998. |
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55. | (with V. A. Roman'kov)
`The automorphism groups of relatively free algebras', J. Algebra 209 (1998),
713-723. |
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56. |
(with J. R. J. Groves) `Finite presentation of abelian-by-finite-dimensional
Lie algebras', J. London Math. Soc. (2) 60 (1999), 45-57. |
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57. |
(with J. R. J. Groves) `Finitely presented Lie algebras',
J. Algebra 218 (1999), 1-25. |
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58. | (with J. R. J. Groves)
`Finitely presented centre-by-metabelian Lie algebras', Bull. Austral.
Math. Soc. 60 (1999), 221-226. |
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59. |
(with L. G. Kovács and R. Stöhr) `Free Lie algebras as modules
for symmetric groups', J. Austral. Math. Soc. (Ser. A) 67 (1999),
143-156. |
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60. |
(with V. A. Roman'kov) `Automorphism groups of relatively free groups',
Math. Proc. Cambridge Philos. Soc. 127 (1999), 411-424. |
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61. |
(with R. Stöhr) `On the module structure of free Lie algebras',
Trans. Amer. Math. Soc. 352 (2000), 901-934. |
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62. |
(with A. I. Papistas) `On the fixed points of a finite group acting on
a relatively free Lie algebra', Glasgow Math. J., 42 (2000),
167-181. |
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63. |
(with A. N. Krasil'nikov) `On certain non-finitely based varieties of
groups', in `Algebra', pp. 77-84, edited by Y. Bahturin, de Gruyter,
Berlin, New York, 2000. |
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64. |
(with I. C. Michos) `Lie powers of free modules for certain groups of
prime power order', J. Austral. Math. Soc. 71 (2001), 149--158.
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65. |
(with A. N. Krasil'nikov) `Some finitely based metanilpotent varieties
of groups', Quaderni di Matematica 8 (2001), Topics in Infinite Groups,
edited by M. Curzio and F. de Giovanni, pp. 63--76.
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66. |
(with L. G. Kovács and R. Stöhr) `Invariant bases for free Lie
rings', Quart. J. Math. 53 (2002), 1--17.
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67. |
(with L. G. Kovács and R. Stöhr) `Lie powers of modules for
groups of prime order', Proc. London Math. Soc. (3) 84 (2002), 343--374.
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68. |
(with A. N. Krasil'nikov) `Metanilpotent varieties of groups', J. Austral.
Math. Soc. 73 (2002), 55--84.
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69. |
`Free Lie algebras and formal power series', J. Algebra 253 (2002), 167--188.
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70. |
(with L. G. Kovács and R. Stöhr) `Lie powers of modules for GL(2,p)',
J. Algebra 260 (2003), 617--630.
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71. |
`Free Lie algebras and Adams operations', J. London Math. Soc. (2) 68 (2003),
355--370.
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72. |
`Modular Lie representations of groups of prime order', Math. Zeitschrift,
246 (2004), 603--617.
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73. |
`Modular Lie representations of finite groups', J. Austral. Math. Soc.,
77 (2004), 401--423.
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74. |
(with G. Kemper) `Global degree bounds and the transfer principle for
invariants', J. Algebra 284 (2005), 80--90.
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75. |
(with L. G. Kovács and R. Stöhr) `Subalgebras of free restricted
Lie algebras', Bull. Austral. Math. Soc. 72 (2005), 147--156.
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76. |
(with R. Stöhr) `Lie powers in prime degree', Quart. J. Math. 56 (2005),
473--489.
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77. |
(with M. Schocker) `The decomposition of Lie powers', Proc. London Math. Soc. (3) 93 (2006), 175--196.
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78. |
(with M. Schocker) `Factorisation of Lie resolvents', J. Pure and Applied
Algebra 208 (2007), 993--1002.
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79. |
(with R. Stöhr) `On modular Lie representations of finite groups', Turk. J. Math.
31 (2007), Suppl., 25--43.
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80. |
(with M. Johnson) `Lie powers and Witt vectors', J. Algebraic Combin.,
28 (2008), 169--187.
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81. |
`Lie powers of infinite-dimensional modules', Beitraege zur Algebra und
Geometrie 50 (2009), 179--193.
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82. |
(with M. Johnson) `Adams operations on the Green ring of a cyclic group of
prime-power order', J. Algebra 323 (2010), 2818--2833.
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83. |
(with M. Johnson) `Periodicity of Adams operations on the Green ring of
a finite group', J. Pure and Applied Algebra, to appear.
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