A characterisation of classical unitals.
type: Item
instance of: scholarly article
title: A characterisation of classical unitals.
zbMATH Open document ID: 1036.51007
DOI: 10.1007/PL00012541
published in: Journal of Geometry
publication date: 2003-07-27T00:00:00Z
review text: A unital in a Desarguesian projective plane \(PG(2,q)\), \(q\) square, is a point set consisting of \(q \sqrt{q} +1\) points such that any line of \(PG(2,q)\) meets it in either \(1\) point or \(\sqrt{q} +1\) points. The paper under review presents a different and shorter proof of a result due to \textit{A. Cossidente, G. L. Ebert} and \textit{G. Korchmaros} [Arch. Math. 74, 1--5 (2000; Zbl 0961.51006)] characterising classical unitals, i.e. unitals consisting of the absolute points and non-absolute lines with respect to a unitary polarity of \(PG(2,q)\).
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 51E21
Mathematics Subject Classification ID: 05B25
Mathematics Subject Classification ID: 14L35
zbMATH DE Number: 1890533
zbMATH Keywords: unital
zbMATH Keywords: Singer group
zbMATH Keywords: finite projective plane
author: Luca Giuzzi
reviewed by: Vito Abatangelo
MaRDI profile type: Publication
full work available at URL: pl00012541
OpenAlex ID: W1999778862
description: scientific article; zbMATH DE number 1890533