Line-primitive automorphism groups of finite linear spaces
type: Item
instance of: scholarly article
title: Line-primitive automorphism groups of finite linear spaces
zbMATH Open document ID: 0679.51013
DOI: 10.1016/S0195-6698(89)80043-5
author: Anne Delantsheer
published in: European Journal of Combinatorics
publication date: 1989-01-01T00:00:00Z
review text: Let S be a finite linear space. Let G be a group of automorphisms of S acting primitively on the b lines of S. Theorem 1. If S is not a projective plane, then G is almost simple, i.e. there is a non-abelian simple group T of order \(>b\) such that \(T\leq G\leq Aut T.\) Theorem 2. If S has \(line\)-size\(<30\), then G acts primitively on the points of S.
Mathematics Subject Classification ID: 51E25
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 20B25
zbMATH DE Number: 4113404
zbMATH Keywords: automorphism group
zbMATH Keywords: primitive
zbMATH Keywords: finite linear space
reviewed by: Hansjoachim Groh
MaRDI profile type: Publication
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full work available at URL: s0195-6698(89)80043-5
OpenAlex ID: W2040298786
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description: scientific article; zbMATH DE number 4113404