Mutually permutable products and conjugacy classes

作者:Ballester Bolinches, A*; Cossey, John; Li, Yangming
来源:Monatshefte fur Mathematik, 2013, 170(3-4): 305-310.
DOI:10.1007/s00605-012-0411-z

摘要

The question of how certain arithmetical conditions on the lengths of the conjugacy classes of a finite group G influence the group structure has been studied by several authors with many results available. The purpose of this paper is to analyse the restrictions imposed by the lengths of the conjugacy classes of some elements of the factors of a finite group G = G (1) G (2) center dot center dot center dot G (r) , which is the product of the pairwise mutually permutable subgroups G (1), G (2), . . . , G (r) , on its structure. Some earlier results appear as corollaries of our main theorems.