Line-transitive automorphism groups of linear spaces
type: Item
instance of: scholarly article
title: Line-transitive automorphism groups of linear spaces
zbMATH Open document ID: 0853.51001
author: Susanne Mishcke
author: A. R. Camina
published in: The Electronic Journal of Combinatorics
publication date: 1996-07-21T00:00:00Z
full work available at URL: https://eudml.org/doc/118964
full work available at URL: R3
review text: Summary: We prove the following theorem. Let \(S\) be a linear space. Assume that \(S\) has an automorphism group \(G\) which is line-transitive and point-imprimitive with \(k < 9\). Then \(S\) is one of the following: (a) a projective plane of order 4 or 7, (b) one of 2 linear spaces with \(v = 91\) and \(k = 6\), (3) one of 467 linear spaces with \(v = 729\) and \(k = 8\). In all cases the full automorphism group \(\text{Aut} (S)\) is known.
Mathematics Subject Classification ID: 51A10
Mathematics Subject Classification ID: 20B25
zbMATH DE Number: 861591
zbMATH Keywords: line-transitive
zbMATH Keywords: point-imprimitive
zbMATH Keywords: linear space
zbMATH Keywords: automorphism group
zbMATH Keywords: projective plane
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 861591