Browsing Mathematics & Statistics Faculty by Author "Spiga, Pablo"

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An Erdos-Ko-Rado theorem for the derangement graph of PGL(2,q) acting on the projective plane

Meagher, Karen; Spiga, Pablo (SIAM Journal on Discrete Mathematics, 2014)

Let G = PGL(2, q) be the projective general linear group acting on the projec- tive line P_q. A subset S of G is intersecting if for any pair of permutations \pi and \sigma in S, there is a projective point p in P_q such ...
An Erdős-Ko-Rado theorem for finite \(2\)-transitive groups

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

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 ...
An Erdős-Ko-Rado theorem for the derangement graph of \(PGL_3(q)\) acting on the projective plane

Meagher, Karen; Spiga, Pablo (SIAM J. Discrete Math. 28, 2014)

In this paper we prove an Erdős-Ko-Rado-type theorem for intersecting sets of permutations. We show that an intersecting set of maximal size in the projective general linear group \(PGL_3(q)\), in its natural ...

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