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Publicly Available Published by De Gruyter November 6, 2008

On some classes of finite quasi--groups

  • Wenbin Guo and Alexander N. Skiba
From the journal Journal of Group Theory

Abstract

Let G be a finite group and a class of finite groups. We say that G is a quasi-ℱ-group if for every -eccentric chief factor H/K of G and every xG, x induces an inner automorphism on H/K. In this paper, the general theory of quasi--groups is given and some of its applications are considered. In particular, some characterizations of quasisoluble groups and quasisupersoluble groups are obtained.

Received: 2008-05-21
Revised: 2008-08-01
Published Online: 2008-11-06
Published in Print: 2009-May

© de Gruyter 2009

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