Thomas Michael Keller
Published 2008-12-13Version 1
In his paper "Finite groups have many conjugacy classes" (J. London Math. Soc (2) 46 (1992), 239-249), L. Pyber proved the to date best general lower bounds for the number of conjugacy classes of a finite group in terms of the order of the group. In this paper we strengthen the main results in Pyber's paper.
Finite groups have more conjugacy classes
Bounds on the number of conjugacy classes of the symmetric and alternating groups
Conjugacy classes of $p$-elements and normal $p$-complements
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