Geometric group theory / Cornelia Druţu, Michael Kapovich ; with an appendix by Bogdan Nica.

Format:

Book

Author/Creator:

Druţu, Cornelia, 1967- author.

Kapovich, Michael, 1963- author.

Contributor:

Nica, Bogdan, 1977- writer of appendix.

Series:

Colloquium publications (American Mathematical Society) ; v. 63.

American Mathematical Society colloquium publications ; volume 63

Language:

English

Subjects (All):

Geometric group theory.

Group theory.

Physical Description:

xx, 819 pages : illustrations ; 27 cm.

Place of Publication:

[Providence, Rhode Island] : American Mathematical Society, [2018]

Contents:

Geometry and topology

Metric spaces

Differential geometry

Hyperbolic space

Groups and their actions

Median spaces and spaces with measured walls

Finitely generated and finitely presented groups

Coarse geometry

Coarse topology

Ultralimits of metric spaces

Gromov-hyperbolic spaces and groups

Lattices in Lie groups

Solvable groups

Geometric aspects of solvable groups

The Tits Alternative

Gromov's Theorem

The Banach-Tarski Paradox

Amenability and paradoxical decomposition

Ultralimits, fixed-point properties, proper actions

The Stallings Theorem and accessibility

Proof of Stallings' Theorem using harmonic functions

Quasiconformal mappings

Groups quasiisometric to H⁷²

Quasiisometries of non-uniform lattices in H⁷²

A survey of quasiisometric rigidity

Appendix : three theorems on linear groups / by Bogdan Nica.

Notes:

Includes bibliographical references (pages 787-811) and index.

ISBN:

9781470411046

1470411040

OCLC:

970042779