亚游登录,亚游集团官网

Setwise Intersecting Families in Classical Coxeter Groups

报告题目:Setwise Intersecting Families in Classical Coxeter Groups

邀请人:殷允川

报告人:王丽 教授 上海师范大学
时间:2019年124日(周三) 15:00-16:00
地点:红瓦楼723
摘要:Let $\Omega$ be a finite set and $G$ a permutation group acting on it.A subset $H$ of $G$ is called t-set-intersecting if for any two elements  $\sigma,\pi \in H$, there exists a $t$-set $T \subset \Omega$ such that  $\sigma(T) = \pi(T)$. Let ${S}_n^D$ and ${S}_n^B$ be the classical Coxeter group of type $D_n$ and  type $B_n$ respectively. We show that the maximum-sized  $t$-set-intersecting families in ${S}_n^D$ and ${S}_n^B$ are precisely  cosets of stabilizers of $t$-set of $[n]$ provided $n$ is sufficiently large depending on $t$.
XML 地图 | Sitemap 地图