Unitals without O'Nan configurations are classical if they admit all translations

2024/10/11 by Markus Stroppel, Stroppel, Markus Johannes · 1 citation
Computer Science · Materials Science · Mathematics · #05B05 #51A45 #51E05 (Primary) #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials #Quasicrystal Structures and Properties

paper · pdf · doi:10.48550/arxiv.2410.08605

openalex publication_date 2024/10/11 · openalex created_date 2024/10/16 · openalex updated_date 2026/07/28

Abstract

We prove the statement in the title: if a (finite) unital admits all translations and contains no O'Nan configurations then the unital is classical, i.e., isomorphic to the Hermitian unital of the same order.

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