Hyperovals and unitals in Figueroa planes
type: Item
instance of: scholarly article
title: Hyperovals and unitals in Figueroa planes
zbMATH Open document ID: 0917.51001
author: M. J. de Resmini
author: Nicholas Hamilton
published in: European Journal of Combinatorics
publication date: 1998-10-18T00:00:00Z
review text: The authors construct hyperovals in all finite Figueroa planes of even order; this extends results of \textit{W. E. Cherowitzo} [J. Geom. 37, No. 1/2, 84-86 (1990; Zbl 0704.51006)] on ovals in finite Figueroa planes of odd order. Furthermore the authors show that all Figueroa planes of finite square order possess unitary polarities, and hence admit unitals.
Mathematics Subject Classification ID: 51A35
Mathematics Subject Classification ID: 51E21
zbMATH DE Number: 1212321
zbMATH Keywords: oval
zbMATH Keywords: hyperovals
zbMATH Keywords: Figueroa planes
zbMATH Keywords: unitals
reviewed by: Theo Grundhöfer
MaRDI profile type: Publication
full work available at URL: eujc.1997.0166
OpenAlex ID: W1974760990
DOI: 10.1006/EUJC.1997.0166
description: scientific article; zbMATH DE number 1212321