Embedding of classical polar unitals in PG(2,q2)

Gábor Korchmáros, Alessandro Siciliano, T. Szőnyi

Research output: Article

4 Citations (Scopus)

Abstract

A unital, that is, a block-design 2−(q3+1,q+1,1), is embedded in a projective plane Π of order q2 if its points and blocks are points and lines of Π. A unital embedded in PG(2,q2) is Hermitian if its points and blocks are the absolute points and non-absolute lines of a unitary polarity of PG(2,q2). A classical polar unital is a unital isomorphic, as a block-design, to a Hermitian unital. We prove that there exists only one embedding of the classical polar unital in PG(2,q2), namely the Hermitian unital.

Original languageEnglish
Pages (from-to)67-75
Number of pages9
JournalJournal of Combinatorial Theory. Series A
Volume153
DOIs
Publication statusPublished - jan. 1 2018

    Fingerprint

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics

Cite this