Spreads of \(T_2(\mathcal O)\), \({\alpha}\)-flocks and ovals
type: Item
instance of: scholarly article
title: Spreads of \(T_2(\mathcal O)\), \({\alpha}\)-flocks and ovals
zbMATH Open document ID: 1056.51009
DOI: 10.1023/B:DESI.0000015887.35146.14
author: Christine M. O'Keefe
author: Stanley E. Payne
author: Tim Penttila
author: Matthew Brown
author: Gordon Royle
published in: Designs, Codes and Cryptography
publication date: 2004-08-19T00:00:00Z
review text: In this nice paper the authors provide a representation of a spread of \(T_2(O)\), \(O\) an oval of PG\((2,q)\), \(q\) even in terms of a family of \(q\) ovals of PG\((2,q)\), investigating its properties. They show that to every flock of a translation oval cone in PG\((3,q)\), \(q\) even, there corresponds a spread of \(T_2(O)\), where \(O\) is an oval depending on the flock. This yields new spreads of \(T_2(O)\), for certain ovals \(O\), and also a geometrical characterization of the ovals associated with a flock of a quadratic cone.
Mathematics Subject Classification ID: 51E23
Mathematics Subject Classification ID: 51E21
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 51E12
zbMATH DE Number: 2093319
zbMATH Keywords: oval
zbMATH Keywords: spread
zbMATH Keywords: flock
zbMATH Keywords: generalized quadrangle
reviewed by: Antonio Cossidente
MaRDI profile type: Publication
full work available at URL: b:desi.0000015887.35146.14
OpenAlex ID: W1993678182
description: scientific article; zbMATH DE number 2093319