Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4649105 | Discrete Mathematics | 2010 | 6 Pages |
Abstract
We present a new construction of non-classical unitals from a classical unital UU in PG(2,q2). The resulting non-classical unitals are B–M unitals. The idea is to find a non-standard model ΠΠ of PG(2,q2) with the following three properties: (i)points of ΠΠ are those of PG(2,q2);(ii)lines of ΠΠ are certain lines and conics of PG(2,q2);(iii)the points in UU form a non-classical B–M unital in ΠΠ. Our construction also works for the B–T unital, provided that conics are replaced by certain algebraic curves of higher degree.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
A. Aguglia, L. Giuzzi, G. Korchmáros,