Language:
שפה נוכחית
Sign in with Google
Sign in with Facebook
Geometric group theory
Enlarge text Shrink text- Book
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.
| Title |
Geometric group theory : proceedings of the symposium held in Sussex, 1991. Volume 1 / edited by Graham A. Niblo and Martin A. Roller. [electronic resource] |
|---|---|
| Publisher |
Cambridge : Cambridge University Press |
| Creation Date |
1993 |
| Notes |
Title from publisher's bibliographic system (viewed on 05 Oct 2015). Includes bibliographical references and index. Includes bibliographical references. English |
| Content |
Cover Title Copyright Contents Preface List of Participants Group Actions and Riemann Surfaces 1. Introduction 2. The Uniformisation Theorem 3. Automorphic functions 4. The geometry of Riemann surfaces 5. Actions of discrete Mobius groups 6. Analytic functions again 7. The epilogue References The virtual cohomological dimension of Coxeter groups Introduction 1. The construction 2. Example The Geometric Invariants of a Group: A Survey with Emphasis on the Homotopical Approach 2. Essentially isometric action on R 3. The homotopical geometric invariant4. Criteria and openness result 5. The homological geometric invariant 6. Algebraization 7. Some applications 8. Polyhedrality String Rewriting - A Survey for Group Theorists One Relator Products with High-Powered Relators 2. Pictures 3. Main results 4. Counterexamples to conjecture F 5. Applications An Inaccessible Group 2. Constructing the example 3. Constructing the lattice Isoperimetric and Isodiametric Functions of Finite Presentations 1. Introduction and definitions2. Relation with the word problem 3. Examples and applications 4. Relation with peak reduction algorithms On Hilbert's Metric for Simplices 1. Generalities on Hilbert metrics 2. The case of simplices 3. Remarks and questions Software for Automatic Groups, Isomorphism Testing and Finitely Presented Groups 1. Automata 2. Isomorphism testing 3. Quotpic Proving Certain Groups Infinite Some Applications of Small Cancellation Theory to One-Relator Groups and One-Relator Products 1. The non-small cancellation groups2. The extended small cancellation theory 3. Solution of the conjugacy problem 4. One relator products A Group Theoretic Proof of the Torus Theorem 2. Deduction of the Torus Theorem from Theorem 1.2 3. Poincare duality groups 4. Ends of pairs of groups 5. The proof of Theorem 1.2 N-Torsion and Applications 0. Introduction 1. N-torsion 2. An example 3. Topological applications Surface Groups and Quasi-Convexity 1. Quasi-convex subgroups 2. Surface groups 3. An example in dimension three4. Remarks 5. Rational structures on groups Constructing Group Actions on Trees 1. Types of group actions on trees 2. Trees and nested sets Brick's Quasi Simple Filtrations for Groups and 3-Manifolds 1. Polyhedral niceties 2. Quasi simple filtration 3. Qsf-covered polyhedra and groups 4. Immersions and towers 5. Unions of qsf spaces 6. Universal covers of 3-manifolds 7. Further problems A Note on Accessibility Geometric Group Theory 1991 Problem List |
| Series |
London Mathematical Society lecture note series 181 |
| Extent |
1 online resource (212 pages) : digital, PDF file(s). |
| Language |
English |
| National Library system number |
997010714251505171 |
MARC RECORDS
Have more information? Found a mistake?
