Certain Fitting classes of groups with min-p for all p
type: Item
instance of: scholarly article
title: Certain Fitting classes of groups with min-p for all p
zbMATH Open document ID: 0674.20021
DOI: 10.1007/BF01188680
author: Martyn Dixon
published in: Archiv der Mathematik
publication date: 1990-01-01T00:00:00Z
review text: It is shown that a radical locally finite group with min-p for all p has locally nilpotent injectors any two of which are isomorphic and have a certain conjugacy property. For a general Fitting class \({\mathfrak F}\), the \({\mathfrak F}\)-injectors need not be isomorphic but the author gives conditions for the existence and conjugacy of the \({\mathfrak F}\)-injectors in groups of the type under consideration.
Mathematics Subject Classification ID: 20F17
Mathematics Subject Classification ID: 20E07
Mathematics Subject Classification ID: 20E15
Mathematics Subject Classification ID: 20E25
Mathematics Subject Classification ID: 20F50
zbMATH DE Number: 4103344
zbMATH Keywords: radical locally finite group with min-p
zbMATH Keywords: locally nilpotent injectors
zbMATH Keywords: general Fitting class
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01188680
OpenAlex ID: W2057101313
description: scientific article; zbMATH DE number 4103344