Some notes on generalized quadrangles of order \(s\) with a span of regular points
type: Item
instance of: scholarly article
title: Some notes on generalized quadrangles of order \(s\) with a span of regular points
zbMATH Open document ID: 1121.51003
author: Bart De Bruyn
author: Stanley E. Payne
published in: Beiträge zur Algebra und Geometrie
publication date: 2007-05-14T00:00:00Z
full work available at URL: 5.html
review text: The authors prove that a finite generalized quadrangle of order \(q\) is a symplectic quadrangle, if it has a center \(x\) of symmetry such that the projective plane at \(x\) is desarguesian. The elementary proof uses admissible triples, as introduced in [\textit{B. De Bruyn}, Eur. J. Comb. 20, 759--771 (1999; Zbl 0946.51007)]. For stronger results see \textit{K. Thas} [Adv. Geom. 2, 189--196 (2002; Zbl 0998.51004)] and \textit{W. M. Kantor} [Adv. Geom. 2, 197--200 (2002; Zbl 0998.51003)].
reviewed by: Theo Grundhöfer
Mathematics Subject Classification ID: 51E12
zbMATH DE Number: 5152737
zbMATH Keywords: finite generalized quadrangle
zbMATH Keywords: center of symmetry
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5152737