Soluble and locally soluble skew linear groups
type: Item
instance of: scholarly article
title: Soluble and locally soluble skew linear groups
zbMATH Open document ID: 0598.20057
DOI: 10.1007/BF01194094
published in: Archiv der Mathematik
publication date: 1987-01-01T00:00:00Z
review text: We study primitive skew linear groups that are soluble or locally soluble. Unlike the linear case, examples show that little can be said at the group level. Here we show that they are all extensions of groups in certain crossed products by certain locally finite groups of finite exponent. If the group is locally nilpotent stronger conclusions follow from weaker hypotheses. We also give some applications to absolutely irreducible groups.
Mathematics Subject Classification ID: 20H25
Mathematics Subject Classification ID: 20F16
Mathematics Subject Classification ID: 20E25
zbMATH DE Number: 3964190
zbMATH Keywords: primitive skew linear groups
zbMATH Keywords: locally soluble
zbMATH Keywords: crossed products
zbMATH Keywords: locally finite groups
zbMATH Keywords: locally nilpotent
zbMATH Keywords: absolutely irreducible groups
author: B. A. F. Wehrfritz
MaRDI profile type: Publication
cites work: Lineare auflösbare Gruppen
cites work: Q4145843
cites work: Q5654236
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cites work: Soluble-by-periodic skew linear groups
cites work: On absolutely irreducible skew linear groups in characteristic zero
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cites work: Locally nilpotent skew linear groups II
full work available at URL: https://doi.org/10.1007/bf01194094
OpenAlex ID: W2006600843
description: scientific article; zbMATH DE number 3964190