Subspaces Intersecting Each Element of a Regulus in One Point, André-Bruck-Bose Representation and Clubs

[摘要] In this paper results are proved with applications to the orbits of $(n-1)$-dimensional subspaces disjoint from a regulus $\mathcal{R}$ of $(n-1)$-subspaces in $\mathrm{PG}(2n-1,q)$, with respect to the subgroup of $\mathrm{PGL}(2n,q)$ fixing $\mathcal{R}

[学科分类] 离散数学和组合数学

[关键词] Club;Linear set;Subplane;André-Bruck-Bose representation;Segre variety