Presentations of Groups
Presentations of Groups
2nd Edition
D. L. Johnson, University of Nottingham
May 2013
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9781107108868
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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.
- Revised edition of tried and tested graduate text
- Lively and interesting field
- Author well known for his teaching
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May 2013Adobe eBook Reader
9781107108868
0 pages
0kg
This ISBN is for an eBook version which is distributed on our behalf by a third party.
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.
