The Poset of Conjugacy Classes and Decomposition of Products in the Symmetric Group
The Poset of Conjugacy Classes and Decomposition of Products in the Symmetric Group
Abstract The action by multiplication of the class of transpositions of the symmetric group on the other conjugacy classes defines a graded poset as described by Birkhoff ([2]). In this paper, the edges of this poset are given a weight and the structure obtained is called the poset of conjugacy …