Browsing Mathematics & Statistics Faculty by Author "Spiga, Pablo"
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An ErdosKoRado 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 ErdősKoRado 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 ErdősKoRado 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 ErdősKoRado 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 ErdősKoRadotype 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 ...