Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Prime factors of conjugacy classes of finite solvable groups

Author: Pamela A. Ferguson
Journal: Proc. Amer. Math. Soc. 113 (1991), 319-323
MSC: Primary 20D10; Secondary 20C15
MathSciNet review: 1049135
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: A bound for the number of primes dividing $ [G:Z(G)]$ for certain finite solvable groups $ G$ is given in terms of the maximal number of primes dividing a conjugacy class.

References [Enhancements On Off] (What's this?)

  • [1] D. Chillag and M. Herzog, On the lengths of conjugacy classes of finite groups, private correspondence.
  • [2] D. Gluck, A conjecture about character degrees of solvable groups, J. Algebra (to appear). MR 1114902 (92g:20010)
  • [3] P. Ferguson, Connections between prime divisors of conjugacy classes and prime divisors of $ \vert G\vert$, J. Algebra (to appear).
  • [4] D. Gorenstein, Finite groups, Harper and Row, New York, 1968. MR 0231903 (38:229)
  • [5] M. Hall, The theory of groups, MacMillan, New York, 1959. MR 0103215 (21:1996)
  • [6] O. Manz, Endliche auflösbare gruppen deren sämtliche charaktergrade primzahl-potenzen sind, J. Algebra 94 (1985), 211-255. MR 789547 (86f:20009)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 20D10, 20C15

Retrieve articles in all journals with MSC: 20D10, 20C15

Additional Information

Article copyright: © Copyright 1991 American Mathematical Society

American Mathematical Society