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Hyperovals of H(3,q²) when q is even

Lookup NU author(s): Dr Antonio Cossidente, Dr Oli King

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Abstract

For even q, a group G isomorphic to PSL(2,q) stabilizes a Baer conic inside a symplectic subquadrangle W(3,q) of H(3,q^2). In this paper the action of G on points and lines of H(3,q^2) is investigated. A construction is given of an infinite family of hyperovals of size 2(q^3-q) of H(3,q^2), with each hyperoval having the property that its automorphism group contains G. Finally it is shown that the hyperovals constructed are not isomorphic to known hyperovals.

Publication metadata

Author(s): Cossidente A, King OH, Marino G

Publication type: Article

Publication status: Published

Journal: Journal of Combinatorial Theory, Series A

Year: 2013

Volume: 120

Issue: 6

Pages: 1131-1140

Print publication date: 01/08/2013

Date deposited: 14/08/2014

ISSN (print): 0097-3165

ISSN (electronic): 1096-0899

Publisher: Academic Press

URL: http://dx.doi.org/10.1016/j.jcta.2013.03.003

DOI: 10.1016/j.jcta.2013.03.003

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