A characterisation of Thas maximal arcs in translation planes of square order
type: Item
instance of: scholarly article
title: A characterisation of Thas maximal arcs in translation planes of square order
zbMATH Open document ID: 0815.51009
DOI: 10.1007/BF01226857
author: Nicholas Hamilton
author: Tim Penttila
published in: Journal of Geometry
publication date: 1994-12-08T00:00:00Z
review text: In 1974 J. A. Thas constructed a class of maximal \(\{q^ 3 - q^ 2 + q;q\}\)-arcs in certain translation planes of order \(q^ 2\), starting from a spread in \(\text{PG}(3,q)\) and an ovoid in \(PG(4,q)\). The authors characterize this class as maximal arcs belonging to a translation plane of order \(q^ 2\) and stabilised by a homology of order \(q - 1\). Moreover they give a characterization involving Baer sublines in the Desarguesian case.
reviewed by: Giustina Pica
Mathematics Subject Classification ID: 51E21
zbMATH DE Number: 700398
zbMATH Keywords: maximal arcs
zbMATH Keywords: translation plane
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 700398