Generalized quadrangles of order \((p,t)\) admitting a 2-transitive regulus, \(p\) a prime
type: Item
instance of: scholarly article
title: Generalized quadrangles of order \((p,t)\) admitting a 2-transitive regulus, \(p\) a prime
zbMATH Open document ID: 1108.51009
author: Koen Thas
published in: Journal of Combinatorial Theory. Series A
publication date: 2006-12-07T00:00:00Z
review text: Let \(S\) be a finite generalized quadrangle of order \((p,t)\), where \(p\) is a prime and \(t>1\). Assume that \(S\) admits a collineation group \(H\) which is doubly transitive on some regulus \(R\) and fixes each line of the opposite regulus. The author proves that \(S\) is isomorphic to one of the classical generalized quadrangles \(Q(4,p)\) or \(Q(5,p)\), or \(H\) induces a sharply 2-transitive group on \(R\) and \(p\) is a Mersenne prime.
reviewed by: Theo Grundhöfer
Mathematics Subject Classification ID: 51E12
zbMATH DE Number: 5078234
MaRDI profile type: Publication
full work available at URL: j.jcta.2005.12.009
OpenAlex ID: W2080945766
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DOI: 10.1016/J.JCTA.2005.12.009
description: scientific article; zbMATH DE number 5078234