Infinite Groups: Geometric, Combinatorial and Dynamical Aspects

• Corporate Author: SpringerLink (Online service)
• Other Authors: Bartholdi, Laurent (Editor), Ceccherini-Silberstein, Tullio (Editor), Smirnova-Nagnibeda, Tatiana (Editor), Zuk, Andrzej (Editor)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2005.
• Series: Progress in Mathematics ; 248
• Subjects: Mathematics.; Group theory.; Topological groups.; Lie groups.; Operator theory.; Differential geometry.; Algebraic topology.; Combinatorics.; Group Theory and Generalizations.; Topological Groups, Lie Groups.; Operator Theory.; Differential Geometry.; Algebraic Topology.
• Physical Description: VIII, 416 p. online resource.
• ISBN: 9783764374471

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.