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＜電子ブック＞
Infinite Groups: Geometric, Combinatorial and Dynamical Aspects / edited by Laurent Bartholdi, Tullio Ceccherini-Silberstein, Tatiana Smirnova-Nagnibeda, Andrzej Zuk
(Progress in Mathematics. ISSN:2296505X ; 248)

版	1st ed. 2005.
出版者	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
出版年	2005
本文言語	英語
大きさ	VIII, 416 p : online resource
著者標目	Bartholdi, Laurent editor Ceccherini-Silberstein, Tullio editor Smirnova-Nagnibeda, Tatiana editor Zuk, Andrzej editor SpringerLink (Online service)
件　名	LCSH:Group theory LCSH:Topological groups LCSH:Lie groups LCSH:Discrete mathematics LCSH:Operator theory LCSH:Geometry, Differential LCSH:Algebraic topology FREE:Group Theory and Generalizations FREE:Topological Groups and Lie Groups FREE:Discrete Mathematics FREE:Operator Theory FREE:Differential Geometry FREE:Algebraic Topology
一般注記	Parafree Groups -- The Finitary Andrews-Curtis Conjecture -- Cuts in Kähler 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 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 HTTP:URL=https://doi.org/10.1007/3-7643-7447-0

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