Collineations of Subiaco and Cherowitzo hyperovals
type: Item
instance of: scholarly article
title: Collineations of Subiaco and Cherowitzo hyperovals
zbMATH Open document ID: 0854.51006
author: Christine M. O'Keefe
author: Joseph A. Thas
published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication date: 1996-06-09T00:00:00Z
full work available at URL: https://eudml.org/doc/118987
review text: Let \(PG(2,q)\) be Desarguesian projective plane. The authors show that if \(q = 2^h\), where \(q > 64\) and \(h \not\equiv 2 \pmod 4\), then the subgroup of \(P \Gamma L(3,q)\) of order \(2h\) fixing Subiaco oval is cyclic and is the full collineation stabilizer of the Subiaco hyperoval. In addition, they consider Cherowitzo hyperovals in \(PG(2,2^h)\) \((h\) odd, \(5\leq h \leq 15)\). They show that a collineation fixing this set of points and one of the points (0, 1, 0) or (0, 0, 1) must be an automorphic collineation.
Mathematics Subject Classification ID: 51E15
Mathematics Subject Classification ID: 51E21
zbMATH DE Number: 885637
zbMATH Keywords: Desarguesian projective plane
zbMATH Keywords: Subiaco oval
zbMATH Keywords: Subiaco hyperoval
zbMATH Keywords: Cherowitzo hyperovals
reviewed by: Pavel Burda
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 885637