Non-classical polar unitals in finite Dickson semifield planes

DOI10.1007/s00022-013-0174-2zbMath1302.51003OpenAlexW2008476049WikidataQ59301497 ScholiaQ59301497MaRDI QIDQ2441403

Yee Ka Tai, Hiu-Fai Law, Alice M. W. Hui, Philip P. W. Wong

Publication date: 24 March 2014

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

Full work available at URL: https://doi.org/10.1007/s00022-013-0174-2

zbMATH Keywords

automorphism groupO'Nan configurationDickson semifield planeWilbrink's conditionsDickson-Ganley polar unitalextension and isomorphism theorems

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Incidence structures embeddable into projective geometries (51A45) Non-Desarguesian affine and projective planes (51A35) Homomorphism, automorphism and dualities in linear incidence geometry (51A10) Nonassociative division algebras (17A35)

Related Items (7)

Unitals in shift planes of odd order ⋮ On the 2-ranks of a class of unitals ⋮ Unitals with many involutory translations ⋮ On the structure of the Figueroa unital and the existence of O'Nan configurations ⋮ On the existence of O'Nan configurations in ovoidal Buekenhout-Metz unitals in \(\mathrm{PG}(2, q^2)\) ⋮ On embedding a unitary block design as a polar unital and an intrinsic characterization of the classical unital ⋮ A note on unitary polarities in finite Dickson semifield planes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unitals and inversive planes
• Finite Moufang generalized quadrangles
• Flocks in \(\mathrm{PG}(3,q)\)
• Eine Axiomatik der Kreisgeometrie und der Laguerregeometrie
• Polarity and transitive parabolic unitals in translation planes of odd order
• Non-classical polar unitals in finite Figueroa planes
• A note on unitary polarities in finite Dickson semifield planes
• Finite semifields and projective planes
• Generalized twisted fields
• A class of unitary block designs
• Automorphisms of unitary block designs
• Polarities in translation planes
• On the autotopism group of the commutative Dickson semifield \(\mathcal{K}\) and the stabilizer of the Ganley unital embedded in the semifield plane \(\Pi(\mathcal{K})\)
• Linear algebras with associativity not assumed
• Chains in the projective line
• On Finite Inversive Planes
• On Nonassociative Division Algebras
• Projective Planes

This page was built for publication: Non-classical polar unitals in finite Dickson semifield planes