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Geometric Group Theory

Geometric Group Theory

Volume 1

Part of London Mathematical Society Lecture Note Series

  • Date Published: July 1993
  • availability: Available
  • format: Paperback
  • isbn: 9780521435291

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  • These two volumes contain survey papers given at the 1991 international symposium on geometric group theory, and they represent some of the latest thinking in this area. Many of the world's leading figures in this field attended the conference, and their contributions cover a wide diversity of topics. Volume I contains reviews of such subjects as isoperimetric and isodiametric functions, geometric invariants of a groups, Brick's quasi-simple filtrations for groups and 3-manifolds, string rewriting, and algebraic proof of the torus theorem, the classification of groups acting freely on R-trees, and much more. Volume II consists solely of a ground breaking paper by M. Gromov on finitely generated groups.

    • Latest work on group theory
    • Acknowledged experts have contributed
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    Product details

    • Date Published: July 1993
    • format: Paperback
    • isbn: 9780521435291
    • length: 224 pages
    • dimensions: 229 x 152 x 12 mm
    • weight: 0.34kg
    • availability: Available
  • Table of Contents

    1. Group actions and Riemann surfaces
    2. The virtual cohomological dimension of Coxeter groups
    3. The geometric invariants of a group - a survey with emphasis on the homological approach
    4. String rewriting - a survey for group theorists
    5. One-relator products with high powered relators
    6. An inaccessible group
    7. Isoperimetric and isodiametric functions - a survey
    8. On Hilbert's metric for simplices
    9. Software for axiomatic groups, isomorphism testing and finitely presented groups
    10. Proving certain groups infinite
    11. Some applications of small cancellation theory to one-relator groups and one-relator products
    12. A group theoretic proof of the torus theorem
    13. N-torsion and applications
    14. Surface groups and quasi-convexity
    15. Constructing group actions on trees
    16. Brick's quasi-simple filtrations for groups and 3-manifolds
    17. A note an accessibility
    18. Geometric group theory
    1991 problem list.

  • Editors

    Graham A. Niblo, Queen Mary University of London

    Martin A. Roller, Universität Regensburg, Germany

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