SPG-reguli satisfying the polar property and a new semipartial geometry
type: Item
instance of: scholarly article
title: SPG-reguli satisfying the polar property and a new semipartial geometry
zbMATH Open document ID: 1056.51006
published in: Designs, Codes and Cryptography
publication date: 2004-08-16T00:00:00Z
review text: A semipartial geometry (SPG) spg\((s,t,\alpha,\mu)\) is a partial linear space of order \((s,t)\) satisfying the following axioms: i) if a point \(x\) and a line \(L\) are not incident, then there are \(0\) or \(\alpha\) \((\alpha >0)\) points which are collinear with \(x\) and incident with \(L\); ii) if two points are not collinear, then there are \(\mu\) \((\mu>0)\) points collinear with both. In this nice paper, the authors construct a new semipartial geometry based on a Buekenhout-Metz unital and determine its automorphism group.
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 51E14
Mathematics Subject Classification ID: 20B25
zbMATH DE Number: 2091512
zbMATH Keywords: semipartial geometry
zbMATH Keywords: SPG-regulus
zbMATH Keywords: unital
author: Stefaan De Winter
author: Joseph A. Thas
reviewed by: Antonio Cossidente
MaRDI profile type: Publication
full work available at URL: b:desi.0000029219.90058.3a
OpenAlex ID: W2062633962
DOI: 10.1023/B:DESI.0000029219.90058.3A
description: scientific article; zbMATH DE number 2091512