Geometric Group Theory: Volume 1 de Graham A. Niblo

Geometric Group Theory: Volume 1: London Mathematical Society Lecture Note Series, cartea 181

Graham A. Niblo

Martin A. Roller

en Limba Engleză Paperback – 29 iul 1993

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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Cuprins

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.