An Erdős-Ko-Rado theorem for finite \(2\)-transitive groups
Tiep, Pham Huu
MetadataShow full item record
We prove an analogue of the classical Erdős-Ko-Rado theorem for intersecting sets of permutations in finite \(2\)-transitive groups. Given a finite group \(G\) acting faithfully and \(2\)-transitively on the set \(\Omega\), we show that an intersecting set of maximal size in \(G\) has cardinality \(|G|/|\Omega|\). This generalises and gives a unifying proof of some similar recent results in the literature.