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.
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This revised edition provides an introduction to combinatorial group theory.
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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This revised edition provides an introduction to combinatorial group theory.

Produktdetaljer

ISBN
9780521585422
Publisert
1997-05-15
Utgave
2. utgave
Utgiver
Vendor
Cambridge University Press
Vekt
310 gr
Høyde
227 mm
Bredde
152 mm
Dybde
14 mm
Aldersnivå
06, P
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
232

Forfatter