On the existence of O'Nan configurations in ovoidal Buekenhout-Metz unitals in \(\mathrm{PG}(2, q^2)\)

DOI10.1016/j.disc.2019.05.013zbMath1418.05044arXiv1810.00705OpenAlexW2893639720MaRDI QIDQ2319717

Weicong Li, Tao Feng

Publication date: 20 August 2019

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.00705

zbMATH Keywords

Desarguesian planeO'Nan configurationBuekenhout unital

Mathematics Subject Classification ID

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 (1)

Graphs cospectral with \(\operatorname{NU}(n + 1,q^2)\), \(n \neq 3\)

Cites Work

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• Designs from pairs of finite fields. I: A cyclic unital U(6) and other regular Steiner 2-designs
• On Buekenhout-Metz unitals of odd order
• On Buekenhout-Metz unitals of even order
• Existence of unitals in finite translation planes of order \(q^2\) with a kernel of order \(q\)
• On a class of unitals
• A characterization of the classical unital
• On the structure of the Figueroa unital and the existence of O'Nan configurations
• On embedding a unitary block design as a polar unital and an intrinsic characterization of the classical unital
• Embedding of classical polar unitals in \(\mathrm{PG}(2,q^{2})\)
• Non-classical polar unitals in finite Dickson semifield planes
• Linear representations of projective planes in projective spaces
• Automorphisms of unitary block designs
• The construction of translation planes from projective spaces
• Unitals Admitting All Translations

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