Geodesic
Inherited unitals in Moulton planes
Ars Mathematica Contemporanea, Tome 14 (2018) no. 2, pp. 251-265.

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We prove that every Moulton plane of odd order—by duality every generalised André plane—contains a unital. We conjecture that such unitals are non-classical, that is, they are not isomorphic, as designs, to the Hermitian unital. We prove our conjecture for Moulton planes which differ from PG(2, q2) by a relatively small number of point-line incidences. Up to duality, our results extend previous analogous results—due to Barwick and Grüning—concerning inherited unitals in Hall planes.
DOI : 10.26493/1855-3974.1285.f3c
Keywords: Unitals, Moulton planes 
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Gábor Korchmáros; Angelo Sonnino; Tamás Szőnyi. Inherited unitals in Moulton planes. Ars Mathematica Contemporanea, Tome 14 (2018) no. 2, pp. 251-265. doi : 10.26493/1855-3974.1285.f3c. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1285.f3c/

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