Topological Equivalence Of Transitive Factorization

DOI: 10.5176/2251-1911_CMCGS18.42

Authors: Hao Sun

Abstract: We study the topological equivalent class of the minimal transitive factorization of a given permutation σ into transpositions. Given any permutation σ, we find that any two minimal transitive factorizations of σ are topological equivalent to each other. As a corollary, conjugate equivalence of the minimal transitive factorization is a special case of the topological equivalence.