Irreducible subgroups of SL(n,K) generated by root subgroups
type: Item
instance of: scholarly article
title: Irreducible subgroups of SL(n,K) generated by root subgroups
zbMATH Open document ID: 0674.20028
DOI: 10.1007/BF00184158
published in: Geometriae Dedicata
publication date: 1989-01-01T00:00:00Z
review text: The author determines for an arbitrary division ring D the irreducible subgroups of SL(n,D) generated by root subgroups. This extends work of \textit{J. McLaughlin}, who settled the case where D is a field [see Arch. Math. 18, 364-368 (1967; Zbl 0232.20084) and Ill. J. Math. 13, 108-115 (1969; Zbl 0179.049)].
Mathematics Subject Classification ID: 20H25
Mathematics Subject Classification ID: 20E07
Mathematics Subject Classification ID: 20F05
zbMATH DE Number: 4103351
zbMATH Keywords: division ring
zbMATH Keywords: irreducible subgroups
zbMATH Keywords: root subgroups
author: Shangzhi Li
MaRDI profile type: Publication
cites work: Some groups generated by transvections
cites work: Some subgroups of \(SI_ n(F_2)\)
description: scientific article; zbMATH DE number 4103351