A lower bound for the number of conjugacy classes of finite groups

2007/08/16 by Keller, Thomas Michael
#20E45 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.0708.2281

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 2√(p-1) conjugacy classes. In this paper we show that if p is large, the result remains true for arbitrary finite groups.

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