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The aim of this book is to provide an introduction to combinatorial group theory. Any reader who has completed first courses in linear algebra, group theory and ring theory will find this book accessible. The emphasis is on computational techniques but rigorous proofs of all theorems are supplied. This new edition has been revised throughout, including new exercises and an additional chapter on proving that certain groups are infinite.Read more
- Revised edition of tried and tested graduate text
- Lively and interesting field
- Author well known for his teaching
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- Edition: 2nd Edition
- Date Published: May 1997
- format: Paperback
- isbn: 9780521585422
- length: 232 pages
- dimensions: 227 x 152 x 14 mm
- weight: 0.31kg
- availability: Available
Table of Contents
1. Free groups
2. Schreier's method
3. Nielsen's method
4. Free presentations of groups
5. Some popular groups
6. Finitely generated groups
7. Finite groups with few relations
8. Coset enumeration
9. Presentations of subgroups
10. Presentations of group extensions
11. Relation models
12. An algorithm for N/N'
13. Finite p-groups
14. The nilpotent quotient algorithm
15. The Golod-Shafarevich theorem
16. Fibonacci update.
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