Periodic normal subgroups of linear groups
type: Item
instance of: scholarly article
title: Periodic normal subgroups of linear groups
zbMATH Open document ID: 0908.20038
published in: Archiv der Mathematik
publication date: 1999-01-11T00:00:00Z
review text: The author gives an alternative proof and a generalization of a result of R. E. Phillips and J. G. Rainbolt. He shows: There is an integer-valued function \(f(n)\) of \(n\) only such that if \(G\) is a linear group of degree \(n\) and characteristic \(p\geq 0\) and if \(N\) is any periodic normal subgroup of \(G\), with \(O_p(N)=\langle 1\rangle\) if \(p>0\), then \(G/N\) is isomorphic to a linear group of degree \(f(n)\) and characteristic \(p\).
reviewed by: Erich W. Ellers
Mathematics Subject Classification ID: 20H20
Mathematics Subject Classification ID: 20E07
Mathematics Subject Classification ID: 20F50
zbMATH DE Number: 1214009
zbMATH Keywords: linear groups
zbMATH Keywords: periodic normal subgroups
author: B. A. F. Wehrfritz
MaRDI profile type: Publication
full work available at URL: s000130050248
OpenAlex ID: W2021676532
DOI: 10.1007/S000130050248
description: scientific article; zbMATH DE number 1214009