Browsing by Author "Tiep, Pham Huu"

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    An Erdős-Ko-Rado theorem for finite \(2\)-transitive groups
    (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.