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.
Author(s): Graham A. Niblo, Martin A. Roller
Series: London Mathematical Society Lecture Note Series
Publisher: CUP
Year: 1993
Language: English
Pages: 223
Cover......Page 1
Title......Page 4
Copyright......Page 5
Table of Contents......Page 6
Preface......Page 8
List of Participants......Page 10
Group Actions and Riemann Surfaces......Page 12
The Virtual Cohomological Dimension of Coxeter Groups......Page 30
The Geometric Invariants of a Group..A Survey with Emphasis on the Homotopical Approach......Page 35
String Rewriting - A Survey for Group Theorists......Page 48
One Relator Products and High-Powered Relators......Page 59
An Inaccessible Group......Page 86
Isoperimetric and Isodiametric Functions of Finite Presentations......Page 90
On Hibert's Metric for Simplices......Page 108
Software for Automatic Groups, Isomorphism Testing and Finitely Presented Groups......Page 131
Proving Certain Groups Infinite......Page 137
Some Applications of Small Cancellation Theory to One-Relator Groups and One-Relator Products......Page 143
A Group Theoretic Proof of the Torus Theorem......Page 149
N-Torsion and Applications......Page 170
Surface Groups and Quasi-Convexity......Page 180
Constructing Group Actions on Trees......Page 187
Brick's Quasi Simple Filtrations and 3-Manifolds......Page 199
A Note on Accessibility......Page 215
Geometric Group Theory 1991 Problem List......Page 219
