Geometries for the group PSL\((3,4)\)
type: Item
instance of: scholarly article
title: Geometries for the group PSL\((3,4)\)
zbMATH Open document ID: 1030.51009
DOI: 10.1016/S0195-6698(03)00017-9
author: Harald Gottschalk
author: Dimitri Leemans
published in: European Journal of Combinatorics
publication date: 2003-06-26T00:00:00Z
review text: The authors classify all geometries for PSL\((3,4)\) that are firm, residually connected, satisfying the intersection property (IP)\(_2\) (every residue of rank 2 is either a partial linear space or a generalized digon), on which the group PSL\((3,4)\) acts flag-transitively and each flag stabilizer of this group is weakly primitive. This is along the lines of Tit's programme of finding geometric descriptions of the exceptional complex Lie groups. Using MAGMA the authors have also determined the automorphism and correlation groups of these geometries. Geometric descriptions for each of the geometries showing up in the classification are given as well.
Mathematics Subject Classification ID: 51E22
Mathematics Subject Classification ID: 05B25
zbMATH DE Number: 1939358
zbMATH Keywords: residually connected coset geometries
zbMATH Keywords: flag-transitive automorphism groups
describes a project that uses: Magma
describes a project that uses: Cayley
MaRDI profile type: Publication
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full work available at URL: s0195-6698(03)00017-9
OpenAlex ID: W2017861872
description: scientific article; zbMATH DE number 1939358