Groups of non-bijective transformations mapping on finite set. (G(Non-bT)‎)‎

الملخص EN

The aim of this study is to find new groups that consisting of non-bijective transformations cannot subset of symmetric groups Sn on finite set A called G(Non-bT)groups.

In addition, we give the necessary and sufficient condition for the elements of these groups on anon empty set A by using the quotient set of A, Moreover, we conclude that G(Non-bT)  Sn on the quotient set of A.