Skip to Main Content

Office Hours with a Geometric Group Theorist

Online ISBN:
9781400885398
Print ISBN:
9780691158662
Publisher:
Princeton University Press
Book

Office Hours with a Geometric Group Theorist

Dan Margalit (ed.),
Dan Margalit
(ed.)
Georgia Institute of Technology
Find on
Matt Clay (ed.)
Matt Clay
(ed.)
University of Arkansas
Find on
Published:
11 July 2017
Online ISBN:
9781400885398
Print ISBN:
9780691158662
Publisher:
Princeton University Press

Abstract

Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincaré, Felix Klein, J.H.C. Whitehead, and Max Dehn. This book brings together leading experts who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics. It's like having office hours with your most trusted math professors. An essential primer for undergraduates making the leap to graduate work, the book begins with free groups—actions of free groups on trees, algorithmic questions about free groups, the ping-pong lemma, and automorphisms of free groups. It goes on to cover several large-scale geometric invariants of groups, including quasi-isometry groups, Dehn functions, Gromov hyperbolicity, and asymptotic dimension. It also delves into important examples of groups, such as Coxeter groups, Thompson's groups, right-angled Artin groups, lamplighter groups, mapping class groups, and braid groups. The tone is conversational throughout, and the instruction is driven by examples. It features numerous exercises and in-depth projects designed to engage readers and provide jumping-off points for research projects.

Contents
Close
This Feature Is Available To Subscribers Only

Sign In or Create an Account

Close

This PDF is available to Subscribers Only

View Article Abstract & Purchase Options

For full access to this pdf, sign in to an existing account, or purchase an annual subscription.

Close