A class of unitals of order q which can be embedded in two different planes of order \(q^ 2\)

DOI10.1007/BF01234988zbMath0623.51002OpenAlexW434424356MaRDI QIDQ1091606

Klaus Grüning

Publication date: 1987

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01234988

zbMATH Keywords

Hall planeunitals embedded in projective planeunitals in finite translation planes

Mathematics Subject Classification ID

Translation planes and spreads in linear incidence geometry (51A40) Incidence structures embeddable into projective geometries (51A45) Other finite incidence structures (geometric aspects) (51E30)

Related Items

Automorphisms of (affine) \(\mathrm{SL}(2, q)\)-unitals, A characterization of the classical unital, Some maximal arcs in Hall planes, Concerning a characterisation of Buekenhout-Metz unitals, Some inherited maximal arcs in derived dual translation planes, Hyperbolic unitals in the Hall planes, Arcs in the Hall planes, Unitals in projective planes of order 16, Unitals in projective planes of order 25, Unitals with many involutory translations, New Steiner 2-designs from old ones by paramodifications, Unital designs in planes of order 16, On Buekenhout-Metz unitals of odd order, Unitals in the Hall plane, Buekenhout-Tits unitals, On Buekenhout-Metz unitals of even order, Sets of type \((a,b)\) from subgroups of \(\Gamma L (1, p^R)\), Complete unital-derived arcs in the Hall planes, A non-classical unital of order four with many translations, On deriving unitals, Unitals which meet Baer subplanes in 1 modulo \(q\) points, The Bruck-Bose map and Beukenhout-Metz unitals, Transformation of incidence structures and sharply multiply transitive permutation sets

Cites Work

• Existence of unitals in finite translation planes of order \(q^2\) with a kernel of order \(q\)
• Automorphisms of unitary block designs
• Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
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