Progress in Mathematics

Geometric, Combinatorial and Dynamical Aspects

By: Laurent Bartholdi (Editor), Tullio Ceccherini-Silberstein (Editor), Tatiana Smirnova-Nagnibeda (Editor)

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Hardcover | 9 December 2005

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428 Pages

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24.13 x 17.15 x 2.54

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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 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.

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Non-Fiction Mathematics Groups & Group Theory Algebra Geometry Algebraic Geometry Differential & Riemannian Geometry Calculus & Mathematical Analysis Functional Analysis & Transforms Combinatorics & Graph Theory Topology Algebraic Topology

Introduction	p. vii
Parafree Groups	p. 1
The Finitary Andrews-Curtis Conjecture	p. 15
Cuts in Kähler Groups	p. 31
Algebraic Mapping-Class Groups of Orientable Surfaces with Boundaries	p. 57
Solved and Unsolved Problems Around One Group	p. 117
Cubature Formulas, Geometrical Designs, Reproducing Kernels, and Markov Operators	p. 219
Survey on Classifying Spaces for Families of Subgroups	p. 269
Are Unitarizable Groups Amenable?	p. 323
Probabilistic Group Theory and Fuchsian Groups	p. 363
Just Non-(abelian by P-type) Groups	p. 389
Infinite Algebras and Pro-p Groups	p. 403
Table of Contents provided by Publisher. All Rights Reserved.

Progress in Mathematics

Geometric, Combinatorial and Dynamical Aspects

At a Glance

Hardcover

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Defective items

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