On groups with bounded conjugacy classes

Quarterly Journal of Mathematics

Volumn 50, Issue 200, 1999, Pages 505-516

  Segal, Dan ^a   Shalev, Aner ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033263838     PISSN: 00335606     EISSN: None     Source Type: Journal    
DOI: 10.1093/qjmath/50.200.505     Document Type: Article

References (13)

1. M. Aschbacher and R. M. Guralnick, 'Some applications of the first cohomology group', J. Algebra 90 (1984), 446-460.
2. J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson, Atlas of Finite Groups, Oxford University Press, Oxford, 1985.
3. K. S. Brown, Cohomology of Groups, Springer-Verlag, New York, 1982.
4. M. Cartwright, 'The order of the derived group of a BFC-group', J. London Math. Soc. (2) 30 (1984), 227-243.
5. J. D. Dixon, 'The Fitting subgroup of a linear solvable group', J. Austral. Math. Soc. 7 (1967), 417-424.
6. J. D. Dixon, M. P. F. du Sautoy, A. Mann and D. Segal, Analytic pro-p groups, LMS Lecture Notes 157, Cambridge University Press, Cambridge, 1991.
7. R. M. Guralnick and C. Hoffman, The first cohomology group and generation of simple groups, in Groups and geometries (Siena, 1996), 81-89. Trends Math., Birkhauser, Basel, 1998.
8. I. D. Macdonald, 'Some explicit bounds in groups with finite derived groups', Proc. London Math. Soc. (3) 1 (1961), 23-56.
9. B. H. Neumann, 'Groups covered by permutable subsets', J. London Math. Soc. 29 (1954), 236-248.
10. P. M. Neumann and M. R. Vaughan-Lee, 'An essay on BFC groups', Proc. London Math. Soc. (3) 35 (1977), 213-237.
11. G. M. Seitz, 'The root subgroups for maximal tori in finite groups of Lie type', Pac. J. Math. 106 (1983), 153-244.
12. M. R. Vaughan-Lee, 'Breadth and commutator subgroups of p-groups', J. Algebra 32 (1974), 278-285.
13. J. Wiegold, 'Groups with boundedly finite classes of conjugate elements', Proc. Roy. Soc. London Ser A 238 (1956), 389-401.