Automorphism groups of linear spaces and their parabolic subgroups
type: Item
instance of: scholarly article
title: Automorphism groups of linear spaces and their parabolic subgroups
zbMATH Open document ID: 1160.51008
author: Yu Liu
author: Huiling Li
published in: Journal of Combinatorial Theory. Series A
publication date: 2009-03-04T00:00:00Z
review text: The main result of the paper is the following theorem: If \(S\) is a finite linear space, \(G\) is an almost simple group acting on \(S\) simple transitively, the socle \(T\) of \(G\) is a simple group of Lie type, and the stabilizer \(G_x\) of a point \(x\in S\) intersects \(T\) in a parabolic subgroup, then \(G\) acts on \(S\) flag transitively.
reviewed by: József Szilasi
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 20B25
zbMATH DE Number: 5523112
zbMATH Keywords: finite linear space
zbMATH Keywords: simple groups of Lie type
zbMATH Keywords: flag transitivity
MaRDI profile type: Publication
full work available at URL: j.jcta.2008.04.001
OpenAlex ID: W1980345569
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DOI: 10.1016/J.JCTA.2008.04.001
description: scientific article; zbMATH DE number 5523112