Automorphism groups of compact projective planes
type: Item
instance of: scholarly article
title: Automorphism groups of compact projective planes
zbMATH Open document ID: 0601.51020
DOI: 10.1007/BF00181534
author: Theo Grundhöfer
published in: Geometriae Dedicata
publication date: 1986-01-01T00:00:00Z
review text: Let \({\mathcal P}\) be a compact topological projective plane (not necessarily connected). Theorem 1. The continuous collineations of \({\mathcal P}\) form a locally compact topological transformation group. - In Theorem 2 the author constructs a metric for the topology of each quasifield belonging to a translation plane. - Corollary to Theorem 3: If \({\mathcal P}\) is a translation plane, then the stabilizer of a quadrangle is compact.
Mathematics Subject Classification ID: 51H10
Mathematics Subject Classification ID: 51A40
zbMATH DE Number: 3969520
zbMATH Keywords: automorphism group
zbMATH Keywords: compact topological projective plane
reviewed by: Hansjoachim Groh
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3969520