A. Niblo / A. Roller (eds.)

Geometric Group Theory

Volume 1
Herausgeber: Hitchin, N. J.; Roller, Martin; Niblo, Graham

• Broschiertes Buch

Produktbeschreibung

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.

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.

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. Many of the world's leading figures in this field attended the conference, and their contributions cover a wide diversity of topics. For anyone whose interest lies in the interplay between groups and geometry, these books will be an essential addition to their library.

For anyone whose interest lies in the interplay between groups and geometry, these books will be an essential addition to their library.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 224
• Erscheinungstermin: 2. März 2005
• Englisch
• Abmessung: 229mm x 152mm x 13mm
• Gewicht: 371g
• ISBN-13: 9780521435291
• ISBN-10: 0521435293
• Artikelnr.: 21452983

Inhaltsangabe

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.