Presentations of Groups

Presentations of Groups

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Description

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.show more

Product details

  • Online resource
  • Cambridge University Press (Virtual Publishing)
  • Cambridge, United Kingdom
  • English
  • Revised
  • 2nd Revised edition
  • 113916841X
  • 9781139168410

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.show more