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Lower bounds for the number of conjugacy classes of finite groups
Published online by Cambridge University Press: 15 June 2009
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
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- Copyright © Cambridge Philosophical Society 2009
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