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Geometric Group Theory : Volume 1 - Graham A. Niblo

Geometric Group Theory

Volume 1

By: Graham A. Niblo (Editor), Martin A. Roller (Editor)

Paperback Published: 11th October 1993
ISBN: 9780521435291
Number Of Pages: 224

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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.

Group actions and Riemann surfaces
The virtual cohomological dimension of Coxeter groups
The geometric invariants of a group - a survey with emphasis on the homological approach
String rewriting - a survey for group theorists
One-relator products with high powered relators
An inaccessible group
Isoperimetric and isodiametric functions - a survey
On Hilbert's metric for simplices
Software for axiomatic groups, isomorphism testing and finitely presented groups
Proving certain groups infinite
Some applications of small cancellation theory to one-relator groups and one-relator products
A group theoretic proof of the torus theorem
N-torsion and applications
Surface groups and quasi-convexity
Constructing group actions on trees
Brick's quasi-simple filtrations for groups and 3-manifolds
A note an accessibility
Geometric group theory
problem list
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521435291
ISBN-10: 0521435293
Series: Geometric Group Theory : Book 1
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 224
Published: 11th October 1993
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.86 x 15.16  x 1.17
Weight (kg): 0.31

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