Remarks on the length of conjugacy classes of finite groups

Research Report MRR98-024

Remarks on the length of conjugacy classes of finite groups

John Cossey and Yanming Wang

Abstract: Let G be a finite group. The question of how certain arithmetical conditions on the lengths of the conjugacy classes of G influence the group structure has been studied by several authors. In this paper we study restrictions on the structure of a finite group in which the lengths of conjugacy classes are not divisible by p² for some prime p. We generalise and provide simplified proofs for some earlier results.

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