Geometric Group Theory

doi:10.1017/CBO9780511661860

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Geometric Group Theory

Volume 1
Edited by Graham A. Niblo, Queen Mary University of London, Martin A. Roller, Universität Regensburg, Germany

Publisher: Cambridge University Press
Online publication date: March 2010
Print publication year: 1993
Online ISBN: 9780511661860
DOI: https://doi.org/10.1017/CBO9780511661860

Subjects: Mathematics (general), Mathematics, Geometry and Topology, Algebra
Series: London Mathematical Society Lecture Note Series (181)

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Geometric Group Theory
Volume 1

Edited by Graham A. Niblo, Martin A. Roller
Online ISBN: 9780511661860

Book DOI: https://doi.org/10.1017/CBO9780511661860
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The articles in these two volumes arose from papers given at the 1991 International Symposium on Geometric Group Theory, and they represent some of the latest thinking in this area. This first volume contains contributions from many of the world's leading figures in this field, and their contributions demonstrate the many interesting facets of geometrical group theory. For anyone whose interest lies in the interplay between groups and geometry, these books will be an essential addition to their library.

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Geometric Group Theory

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Preface
pp vii-viii

List of Participants
pp ix-x

1 - Group Actions and Riemann Surfaces
pp 1-18

2 - The Virtual Cohomological Dimension of Coxeter Groups
pp 19-23

3 - The Geometric Invariants of a Group A Survey with Emphasis on the Homotopical Approach
pp 24-36

4 - String Rewriting — A Survey for Group Theorists
pp 37-47

5 - One Relator Products and High-Powered Relators
pp 48-74

6 - An Inaccessible Group
pp 75-78

7 - Isoperimetric and Isodiametric Functions of Finite Presentations
pp 79-96

8 - On Hibert's Metric for Simplices
pp 97-119

9 - Software for Automatic Groups, Isomorphism Testing and Finitely Presented Groups
pp 120-125

10 - Proving Certain Groups Infinite
pp 126-131

11 - Some Applications of Small Cancellation Theory to One-Relator Groups and One-Relator Products
pp 132-137

12 - A Group Theoretic Proof of the Torus Theorem
pp 138-158

13 - N-Torsion and Applications
pp 159-168

14 - Surface Groups and Quasi-Convexity
pp 169-175

15 - Constructing Group Actions on Trees
pp 176-187

16 - Brick's Quasi Simple Filtrations and 3-Manifolds
pp 188-203

17 - A Note on Accessibility
pp 204-207

18 - Geometric Group Theory 1991 Problem List
pp 208-212

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