Monatshefte für Mathematik

, Volume 170, Issue 3–4, pp 305–310 | Cite as

Mutually permutable products and conjugacy classes

Article

Abstract

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 GG 1 G 2 · · · 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.

Keywords

Finite groups Mutually permutable products Conjugacy classes 

Mathematics Subject Classification

20D10 20D20 20D40 20E45 

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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  • A. Ballester-Bolinches
    • 1
  • John Cossey
    • 2
  • Yangming Li
    • 3
  1. 1.Departament d’ÀlgebraUniversitat de ValènciaBurjassotSpain
  2. 2.Department of Mathematics, School of Mathematical ScienceThe Australian National UniversityCanberraAustralia
  3. 3.Department of MathematicsGuangdong University of EducationGuangzhouPeople’s Republic of China

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