Nilpotent injectors in finite groups all of whose local subgroups are \(\mathcal N\)-constrained
type: Item
instance of: scholarly article
title: Nilpotent injectors in finite groups all of whose local subgroups are \(\mathcal N\)-constrained
zbMATH Open document ID: 0779.20006
DOI: 10.1016/0021-8693(92)90024-G
published in: Journal of Algebra
publication date: 1992-09-27T00:00:00Z
review text: A group \(G\) is said to be \(\mathcal N\)-constrained if \(C(F(G)) \leq F(G)\). Soluble groups are \(\mathcal N\)-constrained. The main result of this paper is the following: Let \(G\) be a finite group all of whose local subgroups are \(\mathcal N\)-constrained. Then all nilpotent injectors of \(G\) are conjugate.
Mathematics Subject Classification ID: 20D10
Mathematics Subject Classification ID: 20D20
Mathematics Subject Classification ID: 20D25
zbMATH DE Number: 63619
zbMATH Keywords: soluble groups
zbMATH Keywords: finite group
zbMATH Keywords: local subgroups
zbMATH Keywords: nilpotent injectors
author: Paul Flavell
reviewed by: Rodica Covaci
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 63619