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Infinite Groups: Geometric, Combinatorial and Dynamical Aspects

Laurent Bartholdi, Tullio Ceccherini-Silberstein, Tatiana Smirnova-Nagnibeda, and Andrzej Zuk, editors
Publisher: 
Birkhäuser
Publication Date: 
2005
Number of Pages: 
413
Format: 
Hardcover
Series: 
Progress in Mathematics 248
Price: 
109.00
ISBN: 
3-7643-7446-2
Category: 
Proceedings
We do not plan to review this book.

Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vii

G. Baumslag

Parafree Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1

A.V. Borovik, A. Lubotzky and A.G. Myasnikov

The Finitary Andrews–Curtis Conjecture . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15

T. Delzant and M. Gromov

Cuts in K¨ahler Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31

W. Dicks and E. Formanek

Algebraic Mapping-Class Groups of Orientable Surfaces

with Boundaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57

R. Grigorchuk

Solved and Unsolved Problems Around One Group . . . . . . . . . . . . . . . . . . . . 117

P. de la Harpe and C. Pache

Cubature Formulas, Geometrical Designs, Reproducing Kernels,

and Markov Operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 219

W. L¨uck

Survey on Classifying Spaces for Families of Subgroups . . . . . . . . . . . . . . . . 269

G. Pisier

Are Unitarizable Groups Amenable? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .323

A. Shalev

Probabilistic Group Theory and Fuchsian Groups . . . . . . . . . . . . . . . . . . . . . .363

S. Sidki

Just Non-(abelian by P-type) Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 389

E. Zelmanov

Infinite Algebras and Pro-p Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .403