MATH Seminar

Title: Symmetric chain decompositions of quotients of partially ordered sets
Seminar: Combinatorics
Speaker: Dwight Duffus of Emory University
Contact: Dwight Duffus, dwight@mathcs.emory.edu
Date: 2011-09-02 at 4:00PM
Venue: W306
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Abstract:
Given a subgroup G of the automorphism group of a partially ordered set P, the quotient P/G has as its elements the orbits in P under G with ordering induced by that of P. Canfield and Mason have suggested that for the Boolean lattice of all subsets of a finite set and any subgroup of its automorphism group, these quotients are symmetric chain orders. With Jeremy McKibben-Sanders and Kyle Thayer, we have shown this to be true in some special cases.

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