Infinite Groups: Geometric, Combinatorial and Dynamical Aspects / Edition 1

by Laurent Bartholdi, Tullio Ceccherini-Silberstein, Tatiana Smirnova-Nagnibeda, Andrzej Zuk

Overview

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

Product Details

ISBN-13:	9783764374464
Publisher:	Birkhäuser Basel
Publication date:	12/22/2005
Series:	Progress in Mathematics , #248
Edition description:	2005
Pages:	416
Product dimensions:	6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

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.