Ademir Hujdurović

Characterization of Weak EKR Groups and Intersection Densities with Prescribed Point Stabilizers

A finite group has the weak Erdos-Ko-Rado property if all of its transitive permutation actions have the EKR property. We characterize this property in terms of normal subgroups and chief factors. More precisely, we introduce a local intersection density and establish a normal-extension criterion which reduces the weak...