Presentations of Groups
โ Scribed by D. L. Johnson
- Publisher
- Cambridge University Press
- Year
- 1997
- Tongue
- English
- Leaves
- 228
- Series
- London Mathematical Society Student Texts #15
- Edition
- 2
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Title page
Contents
Preface to the Second Edition
1. Free groups
2. Schreier's method
3. Nielsen's method
4. Free presentations of groups
5. Some popular groups
6. Finitely-generated abelian groups
7. Finite groups with few relations
8. Coset enumeration
9. Presentations of subgroups
10. Presentations of group extensions
11. Relation modules
12. An algorithm for N/N'
13. Finite p-groups
14. The nilpotent quotient algorithm
15. The Golod-Shafarevich theorem
16. Proving some groups infinite
Guide to the literature and references
Index
Dramatis Personae
๐ SIMILAR VOLUMES
Primarily an introduction to combinatorial group theory, this book has the secondary aim of introducing a wide variety of examples of groups and types of groups. The emphasis is algebraic rather than topological. The only background required is some basic knowledge of linear algebra, group theory an