Definition and Examples of Groups, Elementary properties of Groups, Finite Groups; Subgroups, Cyclic subgroup, Normal subgroups, factor groups, cosets, Lagrange’s Theorem, permutations group, Direct products, fundamental theorem of finite Abelian groups, homomorphisms, isomorophism theorems, Conjugate elements, conjugate class, class equation, similar permutation.
Main Textbook: Contemporary Abstract Algebra, by J. A. Gallian, 8th edition, 2013. Subsidiary Books: Modern Algebra: An Introduction, by John R. Durbin, John Wiley & Sons, Inc. 3th edition, 2000.