Intersecting subsets in finite permutation groups

CaiHeng Li, Venkata Raghu Tej Pantangi, Shujiao Song +1

Let $G⩽\mathrm{Sym}(\hat{I}\text{c◯})$ be transitive, and let $S$ be an intersecting subset, namely, the ratio $x{y}^{-1}$ of any elements $x,y\in S$ fixes some point. An EKR-type problem…