A classification of a class of \(C_ 3\) geometries
type: Item
instance of: scholarly article
title: A classification of a class of \(C_ 3\) geometries
zbMATH Open document ID: 0624.51002
DOI: 10.1016/0097-3165(87)90027-6
author: Sarah Rees
published in: Journal of Combinatorial Theory. Series A
publication date: 1987-01-01T00:00:00Z
review text: The following theorem is proved: Suppose that S is a geometry of type \(C_ 3\) in which any line is incident with precisely two planes. Then S is either a building or a quotient of a building by a group of automorphisms of order 2. The author provides a list of all these geometries.
Mathematics Subject Classification ID: 51A25
Mathematics Subject Classification ID: 51B05
zbMATH DE Number: 4013419
zbMATH Keywords: geometry of type \(C_ 3\)
zbMATH Keywords: building
MaRDI profile type: Publication
full work available at URL: 0097-3165(87)90027-6
OpenAlex ID: W2006406292
cites work: Q3327250
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description: scientific article; zbMATH DE number 4013419