| Title: | Inherited unitals in Moulton planes |
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| Authors: | ID Korchmáros, Gábor (Author)
ID Sonnino, Angelo (Author)
ID Szőnyi, Tamás (Author) |
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| Files: |  https://amc-journal.eu/index.php/amc/article/view/1285
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| Language: | English |
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| Work type: | Unknown |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | IAM - Andrej Marušič Institute
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| 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. |
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| Keywords: | Unital, Moulton plane, Hermitian |
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| Year of publishing: | 2018 |
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| Number of pages: | str. 251-265 |
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| Numbering: | #Vol. #14, #no. #2 |
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| PID: | 20.500.12556/RUP-10033  |
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| UDC: | 519.17:004 |
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| ISSN on article: | 1855-3974 |
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| DOI: | 10.26493/1855-3974.1285.f3c |
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| COBISS.SI-ID: | 1540928452 |
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| Publication date in RUP: | 19.12.2018 |
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| Views: | 3543 |
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| Downloads: | 168 |
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