Inherited unitals in Moulton planes

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Title:	Inherited unitals in Moulton planes
Authors:	ID Korchmáros, Gábor (Author) ID Sonnino, Angelo (Author) ID Szőnyi, Tamás (Author)
Files:	https://amc-journal.eu/index.php/amc/article/view/1285
Language:	English
Work type:	Unknown
Typology:	1.01 - Original Scientific Article
Organization:	IAM - Andrej Marušič Institute
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.
Keywords:	Unital, Moulton plane, Hermitian
Year of publishing:	2018
Number of pages:	str. 251-265
Numbering:	#Vol. #14, #no. #2
PID:	20.500.12556/RUP-10033
UDC:	519.17:004
ISSN on article:	1855-3974
DOI:	10.26493/1855-3974.1285.f3c
COBISS.SI-ID:	1540928452
Publication date in RUP:	19.12.2018
Views:	2775
Downloads:	163
Metadata:
:	KORCHMÁROS, Gábor, SONNINO, Angelo and SZŐNYI, Tamás, 2018, Inherited unitals in Moulton planes. Ars mathematica contemporanea [online]. 2018. Vol. 14, no. 2, p. 251–265. [Accessed 3 April 2025]. DOI 10.26493/1855-3974.1285.f3c. Retrieved from: https://amc-journal.eu/index.php/amc/article/view/1285 Copy citation

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Title:	Ars mathematica contemporanea
Publisher:	Univerza na Primorskem
ISSN:	1855-3974
COBISS.SI-ID:	239051776

Language:	English
Keywords:	Unital, Moultonova ravnina, Hermitian

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