Quasi-normal subgroups of algebraic groups
type: Item
instance of: scholarly article
title: Quasi-normal subgroups of algebraic groups
zbMATH Open document ID: 0587.20026
DOI: 10.1007/BF01194001
author: Claus Scheiderer
published in: Archiv der Mathematik
publication date: 1985-01-01T00:00:00Z
review text: Let G be a connected linear algebraic group over an algebraically closed field. A subgroup H of G is said to be algebraically quasi-normal in G if it is Zariski-closed and the closure of AH and HA coincide, for any closed subgroup A of G. Clearly every closed normal subgroup H of G is algebraically quasi-normal. The author proves the converse for fields of characteristic zero and he also offers a complete discussion in the case of positive characteristic.
Mathematics Subject Classification ID: 20G15
Mathematics Subject Classification ID: 20E15
Mathematics Subject Classification ID: 20E07
zbMATH DE Number: 3941794
zbMATH Keywords: algebraically quasi-normal subgroup
zbMATH Keywords: connected linear algebraic group
zbMATH Keywords: closed normal subgroup
MaRDI profile type: Publication
cites work: Topologisch quasinormale Untergruppen zusammenhängender lokalkompakter Gruppen
full work available at URL: https://doi.org/10.1007/bf01194001
OpenAlex ID: W2004389853
description: scientific article; zbMATH DE number 3941794