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Lower bounds for the number of conjugacy classes of finite groups

Published online by Cambridge University Press:  15 June 2009

THOMAS MICHAEL KELLER
THOMAS MICHAEL KELLER*
Affiliation:
Department of Mathematics, Texas State University, 601 University Drive, San Marcos, TX 78666, U.S.A. e-mail: keller@txstate.edu
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Abstract

In 2000, L. Héthelyi and B. Külshammer proved that if p is a prime number dividing the order of a finite solvable group G, then G has at least conjugacy classes. In this paper we show that if p is large, the result remains true for arbitrary finite groups.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 147 , Issue 3 , November 2009 , pp. 567 - 577
Copyright
Copyright © Cambridge Philosophical Society 2009

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