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Presentations of Groups

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Presentations of Groups

Presentations of Groups

2nd Edition
D. L. Johnson , University of Nottingham
May 1997
Available
Paperback
9780521585422

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£53.00
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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.

    • Revised edition of tried and tested graduate text
    • Lively and interesting field
    • Author well known for his teaching

    Product details

    May 1997
    Paperback
    9780521585422
    232 pages
    227 × 152 × 14 mm
    0.31kg
    Available

    Often bought together

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    This title is available for institutional purchase via Cambridge Core

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    Contents

    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

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      Author
    • D. L. Johnson , University of Nottingham

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