(European Journal of Combinatorics, 2016) Meagher, Karen; Spiga, Pablo; Tiep, Pham Huu
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.
