An Erdős-Ko-Rado theorem for the derangement graph of PGL(3,q) acting on the projective plane

2013/10/09 by Meagher, Karen, Spiga, Pablo
#20B05 #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #Primary 05C35 #Secondary 05C69

paper · doi:10.48550/arxiv.1310.2571

Abstract

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 action on the points of the projective line, is either a coset of the stabilizer of a point or a coset of the stabilizer of a line.

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