English

Hyper-reguli in PG(5,q)

Combinatorics 2014-09-25 v1

Abstract

A simple counting argument is used to show that for all qq, an Andr\'e hyper-regulus X\mathbb X in PG(5,q)PG(5,q) has exactly two switching sets. Moreover, there are exactly 2(q2+q+1)2(q^2+q+1) planes in PG(5,q)PG(5,q) that meet every plane of X\mathbb X in a point, namely the planes in the switching sets.

Keywords

Cite

@article{arxiv.1409.6795,
  title  = {Hyper-reguli in PG(5,q)},
  author = {S. G. Barwick and Wen-Ai Jackson},
  journal= {arXiv preprint arXiv:1409.6795},
  year   = {2014}
}
R2 v1 2026-06-22T06:04:17.130Z