On Buekenhout-Metz unitals of odd order

DOI10.1016/0097-3165(92)90038-VzbMath0783.05031OpenAlexW2013582514MaRDI QIDQ1186111

Gary L. Ebert, Ronald D. Baker

Publication date: 28 June 1992

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(92)90038-v

zbMATH Keywords

Buekenhout-Metz unitalscollineation groupsself-dual designs

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Finite affine and projective planes (geometric aspects) (51E15) Other designs, configurations (05B30) Combinatorial aspects of finite geometries (05B25) Translation planes and spreads in linear incidence geometry (51A40)

Related Items

Unitals in shift planes of odd order, Inverse planes with a given collection of common blocks, A characterization of the classical unital, Multiple blocking sets and multisets in Desarguesian planes, Construction of unitals in the Hall planes, Unitals in the Desarguesian projective plane of order 16, The vertex-isoperimetric number of the incidence and non-incidence graphs of unitals, Unitals in projective planes of order 16, Unitals in projective planes of order 25, On regular sets of affine type in finite Desarguesian planes and related codes, Group theoretic characterizations of Buekenhout-Metz unitals in PG\((2,q^{2})\), The sizes of the intersections of two unitals in \(\mathrm{PG}(2,q^2)\), Unital designs in planes of order 16, Unitals in the Hall plane, Unitals and inversive planes, Buekenhout-Tits unitals, On Buekenhout-Metz unitals of even order, On large minimal blocking sets in PG(2,q), On Buekenhout-Metz unitals in \(PG(2, q^ 2)\), \(q\) even, Unitals of PG(2,q²) Containing Conics, Enumeration of orthogonal Buekenhout unitals, Constructions of unitals in Desarguesian planes, Non-isomorphic semipartial geometries, On the dimensions of the binary codes of a class of unitals, Embedding of orthogonal Buekenhout-Metz unitals in the Desarguesian plane of order q^2, On the existence of O'Nan configurations in ovoidal Buekenhout-Metz unitals in \(\mathrm{PG}(2, q^2)\), On deriving unitals

Cites Work

• Block transitive automorphism groups of designs
• A class of unitals of order q which can be embedded in two different planes of order \(q^ 2\)
• Existence of unitals in finite translation planes of order \(q^2\) with a kernel of order \(q\)
• On a class of unitals
• Some remarks concerning the Ree groups of type \((G_2)\)
• A class of unitary block designs
• Automorphisms of unitary block designs
• Collineation groups preserving a unital of a projective plane of odd order
• Some unitals on 28 points and their embeddings in projective planes of order 9
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