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Erdős-Ko-Rado theorem for irreducible imprimitive reflection groups. (English) Zbl 1250.05118
Summary: Let Ω be a finite set, and let G be a permutation group on Ω. A subset H of G is called intersecting if any σ,πH have at least one point. We show that a maximal intersecting subset of an irreducible imprimitive reflection group G(m,p,n) is a coset of the stabilizer of a point in {1,,n} provided n is sufficiently large.
MSC:
05E10Combinatorial aspects of representation theory
20C15Ordinary representations and characters of groups
05D05Extremal set theory
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