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Erd?s-Ko-Rado theorem for irreducible imprimitive reflection groups |
Li WANG( ) |
| Department of Mathematics, Shanghai Normal University, Shanghai 200234, China |
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Abstract Let Ω be a finite set, and let G be a permutation group on Ω. A subset H of G is called intersecting if for any σ, π ∈ H, they agree on 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.
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| Keywords
Erd?s-Ko-Rado theorem
representation theory
imprimitive reflection groups
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Corresponding Author(s):
WANG Li,Email:wlmath@shnu.edu.cn
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Issue Date: 01 February 2012
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