Rank three geometries associated with \(PSL(3,4)\)
type: Item
instance of: scholarly article
title: Rank three geometries associated with \(PSL(3,4)\)
zbMATH Open document ID: 0852.51011
author: Harald Gottschalk
published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication date: 1996-06-09T00:00:00Z
full work available at URL: https://eudml.org/doc/118940
review text: The author constructs three geometries of rank three admitting PSL(3,4) as a flag-transitive automorphism group in a combinatorial way using objects like hyperovals, Baer subplanes and unitals in PG(2,4). These geometries are described by giving their diagrams. Their full automorphism and correlation groups are determined. These geometries are interesting also as examples of building-like geometries in the sense of \textit{F. Buekenhout} and \textit{A. Pasini} [Handbook of incidence geometry, Elsevier (1995; Zbl 0821.00012)] which are extensions of generalized polygons by linear spaces and thick diagram geometries.
reviewed by: T. Thrivikraman
Mathematics Subject Classification ID: 51E24
Mathematics Subject Classification ID: 05B25
zbMATH DE Number: 885635
zbMATH Keywords: automorphism group
zbMATH Keywords: hyperovals
zbMATH Keywords: Baer subplanes
zbMATH Keywords: unitals
zbMATH Keywords: correlation groups
zbMATH Keywords: diagram geometries
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 885635