Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777503 | Journal of Combinatorial Theory, Series A | 2018 | 9 Pages |
Abstract
A unital, that is, a block-design 2â(q3+1,q+1,1), is embedded in a projective plane Î of order q2 if its points and blocks are points and lines of Î . 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Gábor Korchmáros, Alessandro Siciliano, Tamás SzÅnyi,