A normal subgroup of a strongly reductive subgroup is strongly reductive
type: Item
instance of: scholarly article
title: A normal subgroup of a strongly reductive subgroup is strongly reductive
zbMATH Open document ID: 1032.20030
DOI: 10.1016/S0021-8693(03)00293-X
author: Benjamin Martin
published in: Journal of Algebra
publication date: 2003-08-13T00:00:00Z
review text: Let \(G\) be a reductive linear algebraic group over an algebraically closed field \(k\), and \(H\) a strongly reductive subgroup of \(G\). The main result of this paper is to prove that any closed normal subgroup of \(H\) is still strongly reductive. When \(G\) is the general linear group over \(k\), this is a consequence of the Clifford theorem in representation theory.
Mathematics Subject Classification ID: 20G15
Mathematics Subject Classification ID: 20E07
zbMATH DE Number: 1963614
zbMATH Keywords: reductive algebraic groups
zbMATH Keywords: strongly reductive subgroups
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1963614