A characterization of a class of dimensional dual hyperovals with doubly transitive automorphism groups and its applications
type: Item
instance of: scholarly article
title: A characterization of a class of dimensional dual hyperovals with doubly transitive automorphism groups and its applications
zbMATH Open document ID: 1147.51007
published in: European Journal of Combinatorics
publication date: 2008-09-04T00:00:00Z
review text: Suppose \(d\in\mathbb{N}\), \(d\geq 2\). Let \(\mathcal{S}\) be a \(d\)-dual hyperoval over \(\text{GF}(2)\) with ambient space of dimension \(2d+2\) on which a subgroup of \(\Aut(\mathcal{S})\) acts doubly transitively. Through several lemmas, first the author proves a characterization theorem for these hyperovals. Next, based on this theorem, a classification of the dual hyperovals in question is deduced.
reviewed by: József Szilasi
Mathematics Subject Classification ID: 51E21
Mathematics Subject Classification ID: 20B25
zbMATH DE Number: 5321360
author: Satoshi Yoshiara
MaRDI profile type: Publication
full work available at URL: j.ejc.2008.01.001
OpenAlex ID: W2011754109
cites work: Q3934684
cites work: p-solvable doubly transitive permutation groups
cites work: A family of \(d\)-dimensional dual hyperovals in \(PG(2d+1,2)\)
cites work: Dimensional dual hyperovals with doubly transitive automorphism groups
DOI: 10.1016/J.EJC.2008.01.001
description: scientific article; zbMATH DE number 5321360