Maximal quasinilpotent subgroups and injectors for Fitting classes in finite groups
type: Item
instance of: scholarly article
title: Maximal quasinilpotent subgroups and injectors for Fitting classes in finite groups
zbMATH Open document ID: 0631.20013
author: Peter Förster
published in: Southeast Asian Bulletin of Mathematics
publication date: 1987-01-01T00:00:00Z
review text: The paper contains a short proof of a common generalization of some results of Dade, Fischer and Bender. In a previous paper, the author established the existence of a distinguished non-empty conjugacy class of nilpotent injectors in an arbitrary finite group. A more explicit description of these nilpotent injectors is given. Moreover, a conjugacy criterion for certain maximal quasinilpotent subgroups of finite groups is deduced. Finally the author proves the existence of injectors, in all finite groups, with respect to certain other classes of groups.
Mathematics Subject Classification ID: 20D10
Mathematics Subject Classification ID: 20D25
Mathematics Subject Classification ID: 20D15
zbMATH DE Number: 4025678
zbMATH Keywords: conjugacy class of nilpotent injectors
zbMATH Keywords: maximal quasinilpotent subgroups
reviewed by: Rodica Covaci
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4025678