Projective planes of order 12 and PG(3,3)
type: Item
instance of: scholarly article
title: Projective planes of order 12 and PG(3,3)
zbMATH Open document ID: 0941.51007
DOI: 10.1016/S0012-365X(99)00091-6
author: Alan R. Prince
published in: Discrete Mathematics
publication date: 2000-07-30T00:00:00Z
review text: The author gives a complete proof of the fact that the projective space \(\text{PG}(3,3)\) cannot be extended to a projective plane of order~12. An incomplete proof (omitting some cases) was given by \textit{M. Hall} and \textit{R. Roth} [J. Comb. Theory, Ser. A 37, 22-31 (1984; Zbl 0543.05015)]. Actually, the author proves a slightly more general result, namely: There does not exist a covering set of spreads in \(\text{PG}(3,3)\).
reviewed by: Hubert Kiechle
Mathematics Subject Classification ID: 51E15
Mathematics Subject Classification ID: 51E23
zbMATH DE Number: 1369803
zbMATH Keywords: projective planes
zbMATH Keywords: spreads
zbMATH Keywords: covering sets of spreads
MaRDI profile type: Publication
Wikidata QID: Q126649136
full work available at URL: s0012-365x(99)00091-6
OpenAlex ID: W2047078779
description: scientific article; zbMATH DE number 1369803