Topological and asymptotic aspects of group theory : AMS Special Session Probabilitistic and Asymptotic aspects of Group Theory, March 26-27, 2004, Athens, Ohio, AMS Special Session and Topological Aspects of Group Theory, October 16-17, 2004, Nashville, Tennessee / / Rostislav Grigorchuk [and three others], editors

• Record Nr.: UNINA9910814061403321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [2006]; ©2006
• ISBN: 0-8218-7984-7; 0-8218-3756-7
• Descrizione fisica: 1 online resource (248 p.)
• Collana: Contemporary mathematics, , 0271-4132 ; ; 394
• Disciplina: 512.2
• Soggetti: Group theory; Algebraic topology; Topological manifolds
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Contents""; ""Preface""; ""A dichotomy for finitely generated subgroups of word hyperbolic groups""; ""Some solvable automaton groups""; ""Quotient tests and random walks in computational group theory""; ""1. Decision problems and quotient tests""; ""2. Quotient test for the identity problem: non-amenable quotient group""; ""3. Quotient test for the identity problem: amenable quotient groups""; ""4. The role of the mixing time""; ""5. Quotient tests for the word problem""; ""6. Quotient tests for the conjugacy problem""; ""References""; ""The homology of Richard Thompson's group F""; ""Groups with non-simply connected asymptotic cones""""Relative Dehn functions of amalgamated products and HNN-extensions""; ""Endomorphisms of the finitary group of isometries of the binary tree""