Karen Meagher, Pablo Spiga
Published 2013-10-09Version 1
In this paper we prove an Erd\H{o}s-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.
An Erdős-Ko-Rado theorem for finite 2-transitive groups
On "stability" in the Erdős-Ko-Rado theorem
The Erdős-Ko-Rado Theorem for non-quasiprimitive groups of degree $3p$
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