Applications on Cyclic Soft Symmetric Groups

Abstract In classical groups, there is a fact state that the symmetric groups are not cyclic in general. So, in this work the notion of cyclic soft symmetric groups using soft set theory is investigated and their orders are given. In this paper, we introduce new classes over non cyclic symmetric groups; these new classes are generated by element in the power set of classical symmetric groups. Furthermore, some applications on these new classes are given.