Spreads covered by derivable partial spreads
type: Item
instance of: scholarly article
title: Spreads covered by derivable partial spreads
zbMATH Open document ID: 0583.51006
DOI: 10.1016/0097-3165(85)90063-9
author: Michael Walker
published in: Journal of Combinatorial Theory. Series A
publication date: 1985-01-01T00:00:00Z
review text: \textit{M. Walker} has shown in Bull. Lond. Math. Soc. 8, 273-277 (1976; Zbl 0342.50014)] that every regular packing of lines in a projective space PG(3,q) may be used to construct a spread in PG(7,q), and hence a translation plane of order \(q^ 4\), as well. In this paper, the author elaborates this fact in greater detail giving an intrinsic characterization of these spreads and describing the collineation groups of the associated planes. In the closing section he also discusses briefly ways of generalization of the main theorem and some other open problems.
reviewed by: J.Libicher
Mathematics Subject Classification ID: 51A40
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 52C17
Mathematics Subject Classification ID: 05B40
zbMATH DE Number: 3933898
zbMATH Keywords: regular packing of lines in a projective space
zbMATH Keywords: spread
zbMATH Keywords: translation plane
zbMATH Keywords: collineation groups
MaRDI profile type: Publication
full work available at URL: 0097-3165(85)90063-9
OpenAlex ID: W2092424881
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description: scientific article; zbMATH DE number 3933898