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ABSTRACT
In this project, for the reader that majors in mathematics we dis cuss the Group theory from a mathematical viewpoint without proofs. The main purpose of the chapter is to reduce reader’s difficulties for the abstract group theory and get used to dealing with it. In order to do this, we exposit definitions and theorems of field without rigorous and difficult arguments on the hand and give lots of basic and fundamental examples that are easy to understand.
In this project, effort was put in to create awareness of the properties of Group theory and how it can be applied in solving algebraic related problems, this paper also focuses on the history and development of Group theory and our final goal is to obtain perfect understanding on finite groups and its application.
