A geometry of rank 5 associated with \(PGO_ 5(3)\)
type: Item
instance of: scholarly article
title: A geometry of rank 5 associated with \(PGO_ 5(3)\)
zbMATH Open document ID: 0797.51014
DOI: 10.1016/0097-3165(94)90044-2
author: Michel Dehon
published in: Journal of Combinatorial Theory. Series A
publication date: 1994-04-17T00:00:00Z
review text: The author constructs a thin, residually connected geometry \(\Gamma\) of rank 5, whose residues of type \(\{i,i+1\}\) are hexagons, and those of type \(\{i,i+2\}\) are triangles. \(\Gamma\) admits the group \(PGO_ 5(3)\) of all projective collineations stabilizing a non-degenerate quadric in \(PG(4,3)\) as a flag-transitive (and primitive) automorphism group. The geometry \(\Gamma\) is constructed in terms of the generalized quadrangle of order (3,3) which belongs to \(PGO_ 5(3)\).
Mathematics Subject Classification ID: 51E24
Mathematics Subject Classification ID: 51E12
Mathematics Subject Classification ID: 20E42
zbMATH DE Number: 529914
zbMATH Keywords: diagram geometry
zbMATH Keywords: generalized quadrangle
reviewed by: Theo Grundhöfer
MaRDI profile type: Publication
full work available at URL: 0097-3165(94)90044-2
OpenAlex ID: W2037295706
cites work: Q3722701
cites work: Q3851217
description: scientific article; zbMATH DE number 529914