TY - BOOK AU - Grigorchuk,Rostislav AU - Mihalik,Michael AU - Sapir,Mark AU - Sunik,Zoran TI - Topological and Asymptotic Aspects of Group Theory T2 - Contemporary Mathematics SN - 9780821879849 AV - QA174 -- .A675 2004eb U1 - 512.2 PY - 2006/// CY - Providence PB - American Mathematical Society KW - Group theory -- Congresses KW - Algebraic topology -- Congresses KW - Topological manifolds -- Congresses KW - Electronic books N1 - Intro -- 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 -- On the growth of iterated monodromy groups -- On Bestvina-Mess formula -- Symmetric random walks on certain amalgamated free product groups -- Homology of tree braid groups -- Associativity and Thompson's group -- Traveller Salesman Property and Richard Thompson's group F -- On groups with periodic products of commutators -- Currents on free groups -- Heat kernels, theta identities, and zeta functions on cyclic groups -- The Nielsen fixed point structure for homotopy idempotents on surfaces -- Thompson's group F is not Kähler -- 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 UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113328 ER -