This book is written for undergraduate students of Mathematics studying Abstract Algebra and covers the syllabus of most of the Indian Universities related to “Group Theory” which is being taught at this level. Since Abstract Algebra is based on the properties of binary operations, first chapter is dedicated to the concept of binary operations and the introduction of different algebraic structures. Second chapter is written explicitly for giving brief history of the topic. Last chapter is given for exclusiveness of the topic.
Proofs of all the theorems are discussed in details and maximum problems are solved at the end of each chapter.
Contents –
1. Algebraic Structures
2. History of Group Theory
3. Groups : Definition and Properties
4. Subgroups
5. Cyclic Groups and Subgroups
6. Lagrange’s Theorem, Group Homomorphism
7. Normal Subgroups
8. Sylow Theorems and Solvable Groups
Bibliography
