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2. Combinatorial configurations, quasiline arrangements, and systems of curves on surfacesJürgen Bokowski, Jurij Kovič, Tomaž Pisanski, Arjana Žitnik, 2018, original scientific article Keywords: pseudoline arrangement, quasiline arrangement, projective plane, incidence structure, combinatorial configuration, topological configuration, geometric configuration, sweep, wiring diagram, allowable sequence of permutations, maps on surfaces Published in RUP: 03.01.2022; Views: 776; Downloads: 17 Full text (3,66 MB) |
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8. Inherited unitals in Moulton planesGábor Korchmáros, Angelo Sonnino, Tamás Szőnyi, 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. Keywords: Unital, Moulton plane, Hermitian Published in RUP: 19.12.2018; Views: 1996; Downloads: 158 Link to full text |
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