Classification of linear spaces without three mutually parallel lines
type: Item
instance of: scholarly article
title: Classification of linear spaces without three mutually parallel lines
zbMATH Open document ID: 0705.51008
DOI: 10.1007/BF01230366
author: Klaus Metsch
published in: Journal of Geometry
publication date: 1990-01-01T00:00:00Z
review text: From author's summary: ``We classify all finite linear spaces without three mutually parallel lines. Apart from two exceptions, such a space is necessarily a generalized projective plane, a simple extension of a generalized projective plane, or a complete inflated affine plane with a generalized projective plane at infinity.'' The details are too involved to be described here, the reader may find them in the original paper.
Mathematics Subject Classification ID: 51D20
Mathematics Subject Classification ID: 51E20
zbMATH DE Number: 4157368
zbMATH Keywords: generalized projective plane
reviewed by: Giorgio Faina
MaRDI profile type: Publication
cites work: Designs with no three mutually disjoint blocks
cites work: A common characterization of finite projective spaces and affine planes
cites work: A classification of finite 2-fold Bolyai-Lobachevski spaces
cites work: Finite semi-affine planes and generalized projective spaces
description: scientific article; zbMATH DE number 4157368