Contents: Foreword. Preface. Preliminaries. 1. Binary operations and groups. 2. Permutation and groups of permutation. 3. Subgroups of a group. 4. Cyclic groups. 5. Cosets and Lagrange’s theorem. 6. Normal subgroups and quotient groups. 7. Mappings in group theory. Bibliography.
"A Text Book on Groups is an introductory book on groups intended for undergraduate as well as advance undergraduate students. It carefully lays the foundations in groups and prepares the readers for further study. The book contains much material on groups that has not previously appeared in this format.
The author assumes only a modest knowledge of set theory, number sets and matrices on the part of the reader to begin with and leads the reader systematically to the rest part of the book.
In each section of the book, theory is followed by a substantial number of carefully selected worked out examples and illustrations making it best suited for independent study.
The book exposes the reader to various techniques of set theory, logic and modern mathematics in easy to understand steps to enable the reader to build up a strong base for further studies." (jacket)