Some Involutions which Generate the Finite Symmetric Group

Abstract

Let Sn be the symmetric group on Xn = {1, . . . , n} for n ≥ 2. In this paper we state some propertiesof subsemigroups generated by two involutions (a permutation with degree 2) α, β such that αβ is ann-cycle, and then we state some generating sets of Sn which consists of involutions.