pith. sign in

arxiv: 1604.06137 · v1 · pith:EOS6F26Tnew · submitted 2016-04-20 · 🧮 math.CO

Feet in Orthogonal-Buekenhout-Metz Unitals

classification 🧮 math.CO
keywords alphabetafeetgivenorthogonal-buekenhout-metzpointssetsarcs
0
0 comments X
read the original abstract

Given an Orthogonal-Buekenhout-Metz unital $U_{\alpha,\beta}$, embedded in $PG(2,q^2)$, and a point $P\notin U_{\alpha,\beta}$, we study the set of feet, $\tau_{P}(U_{\alpha,\beta})$, of $P$ in $U_{\alpha,\beta}$. We characterize geometrically each of these sets as either $q+1$ collinear points or as $q+1$ points partitioned into two arcs. Other results about the geometry of these sets are also given.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.