Topological and Asymptotic Aspects of Group Theory.

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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.