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Group Theory forms an essential part of all mathematics degree courses and this book provides a straightforward and accessible introduction to the subject assuming that the student has no previous knowledge of group theory. Worked examples and new exercises with solutions are incorporated throughout the text to develop a sound understanding of the general principles underlying the theory and the text has been completely revised in this new edition. Now also includes topical material such as group action and increased emphasis on free groups.
List of contents
1. The Group Concept 2. Subgroups 3. Normal Subgroups 4. Permutation Groups
5. Group Actions 6. Finite Rotation Groups 7. Sylow's Theorems 8. Finitely Generated Abelian Groups 9. Free Groups and Presentations 10. Series of Subgroups 11. Appendix - Proofs by Induction
Summary
Group Theory forms an essential part of all mathematics degree courses and this book provides a straightforward and accessible introduction to the subject assuming that the student has no previous knowledge of group theory. Worked examples and new exercises with solutions are incorporated throughout the text to develop a sound understanding of the general principles underlying the theory and the text has been completely revised in this new edition. Now also includes topical material such as group action and increased emphasis on free groups.
