Embedding of orthogonal Buekenhout-Metz unitals in the Desarguesian plane of order q^2
Ars mathematica contemporanea, Tome 16 (2019) no. 2, pp. 609-623
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A unital, that is a 2-(q3 + 1, q + 1, 1) block-design, is embedded in a projective plane π of order q2 if its points are points of π and its blocks are subsets of lines of π, the point-block incidences being the same as in π. Regarding unitals U which are isomorphic, as a block-design, to the classical unital, T. Szőnyi and the authors recently proved that the natural embedding is the unique embedding of U into the Desarguesian plane of order q2. In this paper we extend this uniqueness result to all unitals which are isomorphic, as block-designs, to orthogonal Buekenhout-Metz unitals.
@article{10_26493_1855_3974_1681_4ec,
author = {G\'abor Korchm\'aros and Alessandro Siciliano},
title = {
{Embedding} of orthogonal {Buekenhout-Metz} unitals in the {Desarguesian} plane of order q^2
},
journal = {Ars mathematica contemporanea},
pages = {609--623},
year = {2019},
volume = {16},
number = {2},
doi = {10.26493/1855-3974.1681.4ec},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1681.4ec/}
}
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Gábor Korchmáros; Alessandro Siciliano. Embedding of orthogonal Buekenhout-Metz unitals in the Desarguesian plane of order q^2. Ars mathematica contemporanea, Tome 16 (2019) no. 2, pp. 609-623. doi: 10.26493/1855-3974.1681.4ec
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