A Course in Abstract Algebra

2025

The book has been designed for undergraduate and postgraduate students of Mathematics and it can also be used by those preparing for various competitive examinations.

Preface to the Sixth Edition Preface to the First Edition Glossary of Symbols 1. Sets and Number Theory 2. Groups. 3. Normal Subgroups, Homomorphisms, Permutation Groups 4. Automorphisms and Conjugate Elements 5. Sylow Theorems and Direct Products 6. Group Actions, Solvable and Nilpotent Groups 7. Rings 8. Homomorphisms and Embedding of Rings 9. Euclidean and Factorization Domains 10. Vector Spaces 11. Linear Transformations 12. Eigen Values and Eigen Vectors 13. Inner Product Spaces 14. Fields 15. More on Fields

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