Projective planes with collineation groups sharply transitive on quadrangles
type: Item
instance of: scholarly article
title: Projective planes with collineation groups sharply transitive on quadrangles
zbMATH Open document ID: 0567.51004
DOI: 10.1007/BF01190963
author: Theo Grundhöfer
published in: Archiv der Mathematik
publication date: 1984-01-01T00:00:00Z
review text: Demonstration of the theorem: Let \({\mathcal P}\) be a projective plane and G a group of collineations acting sharply transitively on the set of ordered quadrangles in \({\mathcal P}\). Then \({\mathcal P}={\mathcal P}(F)\) is Pappian.
Mathematics Subject Classification ID: 51A30
zbMATH DE Number: 3905326
zbMATH Keywords: Moufang plane
zbMATH Keywords: Pappian projective plane
zbMATH Keywords: collineations acting sharply transitively
MaRDI profile type: Publication
cites work: Some Properties of a Sfield
cites work: Amalgams and embeddings of projective planes
cites work: On Projective Planes Transitive on Quadrangles
description: scientific article; zbMATH DE number 3905326