Inherited unitals in Moulton planes

DOI10.26493/1855-3974.1285.f3czbMath1397.51001OpenAlexW2758730778WikidataQ129389417 ScholiaQ129389417MaRDI QIDQ4577867

Tamás Szőnyi, Angelo Sonnino, Gábor Korchmáros

Publication date: 3 August 2018

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.26493/1855-3974.1285.f3c

zbMATH Keywords

unitalsMoulton planesgeneralized André plane

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20)

Related Items (2)

Embedding of classical polar unitals in \(\mathrm{PG}(2,q^{2})\) ⋮ Embeddings of Ree unitals in a projective plane over a field

Cites Work

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• Unitals in the Hall plane
• Canonically inherited arcs in Moulton planes of odd order
• Existence of unitals in finite translation planes of order \(q^2\) with a kernel of order \(q\)
• Hyperovals and unitals in Figueroa planes
• A characterization of the classical unital
• Construction of unitals in the Hall planes
• A class of Buekenhout unitals in the Hall plane
• Unital designs in planes of order 16
• Existence of canonically inherited arcs in Moulton planes of odd order
• Unitals in the regular nearfield planes
• Automorphisms of unitary block designs
• Transitive parabolic unitals in translation planes of odd order
• Generalising a characterisation of Hermitian curves
• Complete unital-derived arcs in the Hall planes

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