Some Quotients of Chain Products are Symmetric Chain Orders

[摘要] Canfield and Mason have conjectured that for all subgroups $G$ of the automorphism group of the Boolean lattice $B_n$ (which can be regarded as the symmetric group $S_n$), the quotient order $B_n/G$ is a symmetric chain order.  We provide a straightforwar

[学科分类] 离散数学和组合数学

[关键词] symmetric chain decomposition;Boolean lattice;quotients