Overgroups in GL(U\(\otimes W)\) of certain subgroups of GL(U)\(\otimes GL(W)\). I
type: Item
instance of: scholarly article
title: Overgroups in GL(U\(\otimes W)\) of certain subgroups of GL(U)\(\otimes GL(W)\). I
zbMATH Open document ID: 0717.20031
DOI: 10.1016/0021-8693(91)90095-P
published in: Journal of Algebra
publication date: 1991-01-01T00:00:00Z
review text: Let F be any field and n and r integers at least 2. The author characterizes in particular all subgroups H of GL(nr,F) containing \(N=SL(n,F)\otimes SL(r,F)\). The general situation is that N or SL(nr,F) is normal in H. There are then a number of special cases in characteristic two. The author then carries out a similar operation, using symplectic instead of special linear groups.
Mathematics Subject Classification ID: 20G15
Mathematics Subject Classification ID: 20E07
zbMATH DE Number: 4181639
zbMATH Keywords: subgroups of classical groups
zbMATH Keywords: special linear groups
author: Shangzhi Li
MaRDI profile type: Publication
cites work: On the maximal subgroups of the finite classical groups
cites work: Q3800277
cites work: Overgroups in GL(nr,F) of certain subgroups of SL(n,K). I
cites work: Q5830680
cites work: Some groups generated by transvections
cites work: Some subgroups of \(SI_ n(F_2)\)
cites work: Maximal subgroups of \(GL_{2n}(K), SL_{2n}(K), PGL_{2n}(K)\) and \(PSL_{2n}(K)\) associated with symplectic polarities
cites work: On subgroups of the special linear group containing the special orthogonal group
cites work: On the maximality of the orthogonal groups in the symplectic groups in characteristic two
cites work: Overgroups of SU(n,K,f) or \(\Omega\) (n,K,Q) in GL(n,K)
full work available at URL: 0021-8693(91)90095-p
OpenAlex ID: W2069438603
description: scientific article; zbMATH DE number 4181639