Document Type

Article

Publication Date

4-1-2006

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

Let G be a finite group and a ∈G. Let a G ={g −1 a g | g ∈ G} be the conjugacy class of a in G. Assume that a G and b G are conjugacy classes of G with the property that C G (a)=C G (b). Then a G b G is a conjugacy class if and only if [a,G]=[b,G]=[ab,G] and [ab,G] is a normal subgroup of G.

Comments

Published by Archiv der Mathematik. DOI: 10.1007/s00013-005-1527-3

Publication Title

Archiv der Mathematik

Volume

86

Issue

4

First Page

289

Last Page

294

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