A new family of partial geometries
type: Item
instance of: scholarly article
title: A new family of partial geometries
zbMATH Open document ID: 0927.51014
DOI: 10.1023/A:1005061316760
published in: Geometriae Dedicata
publication date: 1999-12-06T00:00:00Z
review text: The point graph of a partial geometry is strongly regular, and a strongly regular graph is called pseudo-geometric if it has the same parameters as the point graph of some partial geometry. The hermitian graph \({\mathcal H}(q)\) is known to be pseudo-geometric, but in general it is not geometric, i.e. it does not arise as the point graph of a partial geometry. The author proves that for \(q = 3^{2n}\) the hermitian graph actually is geometric. The automorphism group of the corresponding partial geometry is a subgroup of index 4 in the automorphism group of \({\mathcal H}(3^{2n})\).
Mathematics Subject Classification ID: 51E14
Mathematics Subject Classification ID: 05E30
zbMATH DE Number: 1240984
zbMATH Keywords: hermitian graph
zbMATH Keywords: automorphism group
zbMATH Keywords: partial geometry
author: Rudolf Mathon
reviewed by: Norbert Knarr
MaRDI profile type: Publication
full work available at URL: a:1005061316760
OpenAlex ID: W206626254
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description: scientific article; zbMATH DE number 1240984