Abstract

Abstract: 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. Key words: Transformation, Symmetric Group, Equivalence Class, Quotient Set, Partition

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