Inherited unitals in Moulton planesGábor Korchmáros
, Angelo Sonnino
, Tamás Szönyi
, 2018, original scientific article
Abstract: 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 Grünin-concerning inherited unitals in Hall planes.
Found in: ključnih besedah
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Keywords: Unital, Moulton plane, Hermitian
Published: 19.12.2018; Views: 542; Downloads: 104
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