David Livingstone.

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Doctor David Livingstone

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On the Livingstone-Wagner Theorem

Let G be a permutation group on the set Ω and let S be a collection of subsets of Ω, all of size ≥ m for some integer m . For s ≤ m let ns(G, S) be the number of G-orbits on the subsets of Ω which have a representative y ⊆ x with |y| = s and y ⊆ x for some x ∈ S . We prove that if s < t with s + t ≤ m then ns(G, S) ≤ nt(G, S) . A special case of this theorem is the Livingstone-Wagner Theorem wh...

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Robert Reiner , Sonia Livingstone and Jessica Allen

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ژورنال

عنوان ژورنال: BMJ

سال: 1973

ISSN: 0959-8138,1468-5833

DOI: 10.1136/bmj.2.5863.420-b