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12月4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 $t$.