TY - BOOK ID - 209502 TI - Infinite Groups: Geometric, Combinatorial and Dynamical Aspects AU - Bartholdi, Laurent. AU - Ceccherini-Silberstein, Tullio. AU - Smirnova-Nagnibeda, Tatiana. AU - Zuk, Andrzej. PY - 2005 SN - 1280608889 9786610608881 3764374470 3764374462 9783764374464 9783764374471 PB - Basel : Birkhäuser Basel : Imprint: Birkhäuser, DB - UniCat KW - Infinite groups. KW - Ergodic theory. KW - Selfadjoint operators. KW - Differential topology. KW - Geometry, Differential KW - Topology KW - Operators, Selfadjoint KW - Self-adjoint operators KW - Linear operators KW - Ergodic transformations KW - Continuous groups KW - Mathematical physics KW - Measure theory KW - Transformations (Mathematics) KW - Groups, Infinite KW - Group theory KW - Group theory. KW - Topological Groups. KW - Combinatorics. KW - Operator theory. KW - Global differential geometry. KW - Algebraic topology. KW - Group Theory and Generalizations. KW - Topological Groups, Lie Groups. KW - Operator Theory. KW - Differential Geometry. KW - Algebraic Topology. KW - Functional analysis KW - Combinatorics KW - Algebra KW - Mathematical analysis KW - Groups, Topological KW - Groups, Theory of KW - Substitutions (Mathematics) KW - Topological groups. KW - Lie groups. KW - Differential geometry. KW - Differential geometry KW - Groups, Lie KW - Lie algebras KW - Symmetric spaces KW - Topological groups UR - https://www.unicat.be/uniCat?func=search&query=sysid:209502 AB - This book offers a panorama of recent advances in the theory of infinite groups. It contains survey papers contributed by leading specialists in group theory and other areas of mathematics. Topics addressed in the book include amenable groups, Kaehler groups, automorphism groups of rooted trees, rigidity, C*-algebras, random walks on groups, pro-p groups, Burnside groups, parafree groups, and Fuchsian groups. The accent is put on strong connections between group theory and other areas of mathematics, such as dynamical systems, geometry, operator algebras, probability theory, and others. This interdisciplinary approach makes the book interesting to a large mathematical audience. Contributors: G. Baumslag A.V. Borovik T. Delzant W. Dicks E. Formanek R. Grigorchuk M. Gromov P. de la Harpe A. Lubotzky W. Lück A.G. Myasnikov C. Pache G. Pisier A. Shalev S. Sidki E. Zelmanov. ER -