Subquadrangles of order \(s\) of generalized quadrangles of order (\(s,s^{2}\)). I
type: Item
instance of: scholarly article
title: Subquadrangles of order \(s\) of generalized quadrangles of order (\(s,s^{2}\)). I
zbMATH Open document ID: 1050.51004
published in: Journal of Combinatorial Theory. Series A
publication date: 2004-08-06T00:00:00Z
review text: The authors investigate subquadrangles of order \(s\) in generalized quadrangles of order \((s,s^2)\), \(s\) even. The case of odd \(s\) is considered in [J. Comb. Theory, Ser. A, 106, No. 1, 33--48 (2004; see the review below)]. In the present paper, the authors obtain a new characterization result for \(Q(5,s)\), \(s\) even or odd, and use this to complete the classification of the subquadrangles of order \(s\) in dual flock GQ's of order \((s,s^2)\), \(s\) even. They also show that if \(Q\) is a subquadrangle of order \(s\) in a nonclassical translation generalized quadrangle (TGQ) of order \((s,s^2)\), \(s\) even, such that the corresponding egg is good at an element, then \(Q\) necessarily contains the base point of the TGQ.
reviewed by: Bart De Bruyn
Mathematics Subject Classification ID: 51E12
zbMATH DE Number: 2081937
zbMATH Keywords: generalized quadrangle
zbMATH Keywords: egg
zbMATH Keywords: flock
author: Matthew Brown
author: Joseph A. Thas
MaRDI profile type: Publication
full work available at URL: j.jcta.2003.12.006
OpenAlex ID: W4212940800
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DOI: 10.1016/J.JCTA.2003.12.006
description: scientific article; zbMATH DE number 2081937