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El. knyga: Geometric Group Theory: Volume 1

Edited by (Universität Regensburg, Germany), Edited by (Queen Mary University of London)
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Geometric Group Theory: Volume 1Didesnis paveikslėlis
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For anyone whose interest lies in the interplay between groups and geometry, these books will be an essential addition to their library.

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.

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