A note on translation planes with large dimension
type: Item
instance of: scholarly article
title: A note on translation planes with large dimension
zbMATH Open document ID: 0656.51006
DOI: 10.1007/BF01230605
author: Norman L. Johnson
published in: Journal of Geometry
publication date: 1988-01-01T00:00:00Z
review text: Upon the `derivation' of the Desarguesian planes of order \(q^ 2\), it is well known that the kernel drops from \(GF(q^ 2)\) to GF(q). It is shown in this paper that, in general, the kernel drop may be as large as possible, and hence translation planes of large dimension can be constructed easily.
Mathematics Subject Classification ID: 51A40
zbMATH DE Number: 4071779
zbMATH Keywords: spread
zbMATH Keywords: derivation
zbMATH Keywords: kernel
zbMATH Keywords: translation planes
zbMATH Keywords: dimension
reviewed by: T. Thrivikraman
MaRDI profile type: Publication
cites work: Subplanes of Partial Spreads in Translation Planes
cites work: On some extension of 1-spread sets
cites work: On Elations of Derived Semifield Planes
cites work: Elementary Abelian 2-groups in finite translation planes
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description: scientific article; zbMATH DE number 4071779