Combinatorial group theory and applications to geometry /

From the reviews of the first printing of this book, published as volume 58 of the Encyclopaedia of Mathematical Sciences: "... This book will be very useful as a reference and guide to researchers and graduate students in algebra and and topology." Acta Scientiarum Mathematicarum, Ungarn,...

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Bibliographic Details
Corporate Author:	SpringerLink (Online service)
Other Authors:	Collins, D. J.
Format:	eBook
Language:	English
Published:	Berlin ; New York : Springer, [1998]
Subjects:	Combinatorial group theory. Geometry. Théorie géométrique groupe. Variété Haken. Conjecture Poincaré. Conjecture Andrews-Curtis. Théorème Gromov. Groupe amenable. Théorème Makanin. Théorème Razbokov. Croissance groupe. Teoria dos grupos. Topologia algebrica. Groupes, Théorie combinatoire des. Géométrie. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

I. Combinatorial Group Theory and Fundamental Groups
1. Group Presentations and 2-Complexes
2. Free Groups and Free Products
3. Surfaces and Planar Discontinuous Groups
4. Cancellation Diagrams and Equations Over Groups
5. 3-Manifolds and Knots
6. Cohomological Methods and Ends
7. Decision Problems
II. Some Questions of Group Theory Related to Geometry
1. Equations in Groups and Some Related Questions
2. Splitting Homomorphisms and Some Problems in Topology
3. On the Rate of Growth of Groups and Amenable Groups
Author Index.