The articles in this volume are based on the talks given at two special sessions at the AMS Sectional meetings held in 2004. The articles cover various topological and asymptotic aspects of group theory such as hyperbolic and relatively hyperbolic groups, asymptotic cones, Thompson's group, Nielsen fixed point theory, homology, groups acting on trees, groups generated by finite automata, iterated monodromy groups, random walks on finitely generated groups, heat kernels, and currents on free groups.
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978-0-8218-3756-6 (9780821837566)
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Schweitzer Klassifikation
A dichotomy for finitely generated subgroups of word hyperbolic groups by G. N. Arzhantseva Some solvable automaton groups by L. Bartholdi and Z. Sunik Quotient tests and random walks in computational group theory by A. V. Borovik and A. G. Myasnikov The homology of Richard Thompson's group $F$ by K. S. Brown On the growth of iterated monodromy groups by K.-U. Bux and R. Perez On Bestvina-Mess formula by A. N. Dranishnikov Symmetric random walks on certain amalgamated free product groups by K. Dykema Homology of tree braid groups by D. Farley Associativity and Thompson's group by R. Geoghegan and F. Guzman Traveller salesman property and Richard Thompson's group $F$ by V. S. Guba On groups with periodic products of commutators by S. V. Ivanov Currents on free groups by I. Kapovich Heat kernels, theta identities, and zeta functions on cyclic groups by A. Karlsson and M. Neuhauser The Nielsen fixed point structure for homotopy idempotents on surfaces by M. R. Kelly Thompson's group $F$ is not Kahler by T. Napier and M. Ramachandran Groups with non-simply connected asymptotic cones by A. Yu. Ol'shanskii and M. V. Sapir Relative Dehn functions of amalgamated products and HNN-extensions by D. V. Osin Endomorphisms of the finitary group of isometries of the binary tree by A. M. Brunner and S. N. Sidki.
