Group Theory I ( UGC-CBCS)

"Group Theory I" is designed as per the UGC Choice Based Credit System (CBCS) curriculum to meet the requirement of undergraduate students of mathematics and aptly covers the fundamental principles, Homomorphisms and Isomorphisms, Subgroups, Symmetric, Abelian and Cyclic Groups among other topics. Written in a lucid and concise manner, the textbook is an adept balance between theory with practice.

·         Special write-up on Applications of Group Theory in Human Life

·         More than 150 tables, figures, examples and solved problems for easy understanding of the concepts

·         Close to 1600 chapter-end and book-end questions in four different formats to enhance and strengthen learning quotient

·         Additional Roadmap for the syllabuses of Odisha State, Burdwan, Calcutta, Dibrugarh and Gauhati universities

1. Introduction and Definitions

2. Further Examples of Groups

3. Elementary Properties of Groups

4. Homomorphisms and Isomorphisms

5. Subgroups

6. Symmetric Groups

7. Abelian Groups

8. Cyclic Groups

9. Cosets and Lagrange's Theorem

10. Normal Subgroups and Quotient Groups

11. Isomorphism Theorems

12. Group of Isometries and Dihedral Group

Objective Type Questions for Practice