Presentations of Groups

This revised edition provides an introduction to combinatorial group theory.

D. L. Johnson (Author)

9780521585422, Cambridge University Press

Paperback, published 15 May 1997

232 pages
22.7 x 15.2 x 1.4 cm, 0.31 kg

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.

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.

Subject Areas: Groups & group theory [PBG]