Remarks on the length of conjugacy classes of finite groups

John Cossey; Yanming Wang

doi:10.1080/00927879908826701

Remarks on the length of conjugacy classes of finite groups

John Cossey^*
, Yanming Wang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

23 Citations (Scopus)

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.

Original language	English
Pages (from-to)	4347-4353
Number of pages	7
Journal	Communications in Algebra
Volume	27
Issue number	9
DOIs	https://doi.org/10.1080/00927879908826701
Publication status	Published - 1999

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AB - 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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Remarks on the length of conjugacy classes of finite groups

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