A characterization of some partial geometric spaces
type: Item
instance of: scholarly article
title: A characterization of some partial geometric spaces
zbMATH Open document ID: 0577.51014
author: Hiroshi Kimura
author: Hiroyuki Ohmori
published in: Osaka Journal of Mathematics
publication date: 1985-01-01T00:00:00Z
review text: A partial geometric space S of dimension \(m\geq 2\) consists of the sets \((A_ i)^{i=m}_{i=-1}\) and the set T, the elements of which are called flags. The authors enumerate the eight axioms to be satisfied by \(A_ i\) and T. There is a relation (called incidence) between the elements of \(A_ i\) based on the flags. Two examples are given of which the second is the finite projective geometry PG(m,q). The main part of the paper deals with an ingenious proof (split up into no less than eleven lemma's) for a property of S if it satisfies certain conditions. Another example of a partial geometric space (of dimension \(m\geq 3)\) is added.
Mathematics Subject Classification ID: 51E30
Mathematics Subject Classification ID: 05B25
Mathematics Subject Classification ID: 05B30
Mathematics Subject Classification ID: 51E20
zbMATH DE Number: 3923561
zbMATH Keywords: partial geometric space
zbMATH Keywords: flags
zbMATH Keywords: finite projective geometry
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3923561