Interesting pointsets in generalized quadrangles and partial geometries
type: Item
instance of: scholarly article
title: Interesting pointsets in generalized quadrangles and partial geometries
zbMATH Open document ID: 0663.05014
DOI: 10.1016/0024-3795(89)90454-0
published in: Linear Algebra and its Applications
publication date: 1989-01-01T00:00:00Z
review text: The author considers subsets of the point set of a generalized quadrangle with the property that each line intersects the subset in a constant number of points; more generally, the analogous problem is considered for partial geometries. He also studies arcs in generalized quadrangled and partial geometries. The proofs of the results (which typically involve inequalities on the parameters) use a matrix technique which is also applied to give an elementary proof for the Krein inequalities for strongly regular graphs.
reviewed by: Dieter Jungnickel
Mathematics Subject Classification ID: 05B25
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 51A45
zbMATH DE Number: 4083639
zbMATH Keywords: ovoid
zbMATH Keywords: partial geometries
zbMATH Keywords: arcs
zbMATH Keywords: generalized quadrangled
author: Joseph A. Thas
MaRDI profile type: Publication
full work available at URL: 0024-3795(89)90454-0
OpenAlex ID: W2058525731
cites work: Q3218138
cites work: Q3892261
cites work: Strongly regular graphs having strongly regular subconstituents
cites work: Q3866128
cites work: Q3344217
cites work: Forme e geometrie hermitiane, con particolare riguardo al caso finito
cites work: Q3867836
cites work: Q4128610
cites work: Ovoids and spreads of finite classical polar spaces
description: scientific article; zbMATH DE number 4083639