A characterization of translation planes and dual translation planes of characteristic \(\neq 2\)
type: Item
instance of: scholarly article
title: A characterization of translation planes and dual translation planes of characteristic \(\neq 2\)
zbMATH Open document ID: 0809.51010
author: A. Solai Raju
published in: Osaka Journal of Mathematics
publication date: 1994-09-15T00:00:00Z
review text: Generalizing a definition of \textit{A. Wagner} [Math. Z. 87, 1--11 (1965; Zbl 0131.36804)] the author calls an affine plane a weak \(W\)-plane if a collineation group \(G\) contains for every affine flag \((Q, \ell)\) an involutory homology fixing this flag. Even with this weaker condition the result of Wagner can be improved: Any finite weak \(W\)-plane is a translation plane or a dual translation plane of characteristic \(\neq 2\).
Mathematics Subject Classification ID: 51E15
Mathematics Subject Classification ID: 51A40
zbMATH DE Number: 639571
zbMATH Keywords: finite projective plane
zbMATH Keywords: nearfield
zbMATH Keywords: involutory homology
zbMATH Keywords: finite weak \(W\)-plane
zbMATH Keywords: translation plane
reviewed by: Herbert Hotje
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 639571