On intersecting sets of groups

Let $\Omega$ be a finite set and $G$ be a permutation group on it.

A subset $A$ of $G$ is \textit{intersecting} if for every $\delta,~\tau \in A$, they agree at some points, i.e. there exists $x \in \Omega$ such that $\delta(x)=\tau(x)$. 

In this talk, I will give an analog of the classical Erd\H{o}s–Ko–Rado theorem for intersecting sets of a group.  I will present a history and overview of some of the results that have been proved on this subject. Finally,  I will discuss some of my results about intersecting sets of the general linear group and its subgroups.

Join Zoom meeting here: 

https://upr-si.zoom.us/j/83882798074?pwd=VTdlLzVmRExBWGdwY1pTZFAvUkZMdz09