**IAS/Park City Mathematics Series**

Volume: 21;
2014;
399 pp;
Hardcover

MSC: Primary 20;
**Print ISBN: 978-1-4704-1227-2
Product Code: PCMS/21**

List Price: $90.00

Individual Member Price: $72.00

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# Geometric Group Theory

Share this page *Edited by *
*Mladen Bestvina; Michah Sageev; Karen Vogtmann*

A co-publication of the AMS and IAS/Park City Mathematics Institute

Geometric group theory refers to the study of
discrete groups using tools from topology, geometry, dynamics and
analysis. The field is evolving very rapidly and the present volume
provides an introduction to and overview of various topics which have
played critical roles in this evolution.

The book contains lecture notes from courses given at the Park City
Math Institute on Geometric Group Theory. The institute consists of a
set of intensive short courses offered by leaders in the field,
designed to introduce students to exciting, current research in
mathematics. These lectures do not duplicate standard courses
available elsewhere. The courses begin at an introductory level
suitable for graduate students and lead up to currently active topics
of research. The articles in this volume include introductions to
CAT(0) cube complexes and groups, to modern small cancellation theory,
to isometry groups of general CAT(0) spaces, and a discussion of
nilpotent genus in the context of mapping class groups and CAT(0)
groups. One course surveys quasi-isometric rigidity, others contain
an exploration of the geometry of Outer space, of actions of
arithmetic groups, lectures on lattices and locally symmetric spaces,
on marked length spectra and on expander graphs, Property tau and
approximate groups.

This book is a valuable resource for graduate students and
researchers interested in geometric group theory.

Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.

#### Table of Contents

# Table of Contents

## Geometric Group Theory

#### Readership

Graduate students and research mathematicians interested in geometric group theory.