Group Theory

INTRODUCTION TO THE GROUP THEORY

Lecture Notes on the subject of the Structure of Algebra

Antonius Cahya Prihandoko

Abstract. The discussion focuses in this book are group and homomorphism. The description is started with the concepts of set and function, that are basic of all concepts in this book. After getting a good knowledge in the concepts of set and function, the students can continue to the chapter 2 that provides construction, properties and order of a group and its subgroup. The next discussion on group including cyclic group, the group of permutations and the Lagrange theorem, are be available in the chapter 3, 4, and 5, respectively. The second part of the discussion is about homomorphism. This second part is started with the chapter 6 that provides homomorphism, isomorphism and Cayley theorem. Finally, the last chapter provides the concept of factor group.

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