Epimorphisms of partial geometries onto generalized quadrangles
type: Item
instance of: scholarly article
title: Epimorphisms of partial geometries onto generalized quadrangles
zbMATH Open document ID: 0678.51012
DOI: 10.1007/BF01194878
author: Hans Gevaert
author: Dirk Keppens
published in: Archiv der Mathematik
publication date: 1989-01-01T00:00:00Z
review text: It is well known that a homomorphism from a finite projective plane onto another must be an isomorphism unless it is trivial. (There is only one image point.) A generalized quadrangle is a kind of ``partial geometry''. The authors prove that there is no proper epimorphism from a partial geometry onto a generalized quadrangle.
Mathematics Subject Classification ID: 51E99
Mathematics Subject Classification ID: 51A10
Mathematics Subject Classification ID: 51E30
zbMATH DE Number: 4111446
zbMATH Keywords: generalized quadrangle
zbMATH Keywords: partial geometry
zbMATH Keywords: epimorphism
reviewed by: Theodore G. Ostrom
MaRDI profile type: Publication
cites work: Strongly regular graphs, partial geometries and partially balanced designs
cites work: Q5530244
cites work: Q3274610
cites work: A Geometric Proof of a Theorem of Hughes on Homomorphisms of Projective Planes
cites work: The nonexistence of proper epimorphisms of finite thick generalized polygons
full work available at URL: https://doi.org/10.1007/bf01194878
OpenAlex ID: W2038842922
description: scientific article; zbMATH DE number 4111446