TY  - BOOK
AU  - 
AU  - 
AU  - 
AU  - 
ED  - SpringerLink (Online service)
TI  - Infinite Groups: Geometric, Combinatorial and Dynamical Aspects
T2  - Progress in Mathematics
SN  - 9783764374471
AV  - QA174-183 
U1  - 512.2 23
PY  - 2005///
CY  - Basel
PB  - Birkhuser Basel
KW  - Mathematics
KW  - Group theory
KW  - Topological Groups
KW  - Operator theory
KW  - Combinatorics
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
N1  - Parafree Groups -- The Finitary Andrews-Curtis Conjecture -- Cuts in Khler Groups -- Algebraic Mapping-Class Groups of Orientable Surfaces with Boundaries -- Solved and Unsolved Problems Around One Group -- Cubature Formulas, Geometrical Designs, Reproducing Kernels, and Markov Operators -- Survey on Classifying Spaces for Families of Subgroups -- Are Unitarizable Groups Amenable? -- Probabilistic Group Theory and Fuchsian Groups -- Just Non-(abelian by P-type) Groups -- Infinite Algebras and Pro-p Groups
N2  - 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. Lȭck A.G. Myasnikov C. Pache G. Pisier A. Shalev S. Sidki E. Zelmanov
UR  - http://dx.doi.org/10.1007/3-7643-7447-0
ER  -