Office Hours with a Geometric Group TheoristOffice Hours with a Geometric Group Theorist

Office Hours with a Geometric Group Theorist
Author : Matt Clay
Publisher : Princeton University Press
Total Pages : 456
Release : 2017-07-11
ISBN 10 : 9780691158662
ISBN 13 : 0691158665
Language : EN, FR, DE, ES & NL

Office Hours with a Geometric Group Theorist Book Description:

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. Office Hours with a Geometric Group Theorist 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. Accessible to students who have taken a first course in abstract algebra, Office Hours with a Geometric Group Theorist also features numerous exercises and in-depth projects designed to engage readers and provide jumping-off points for research projects.

Office Hours with a Geometric Group Theorist
Language: en
Pages: 456
Authors: Matt Clay
Categories: Mathematics
Type: BOOK - Published: 2017-07-11 - Publisher: Princeton University Press

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,
Geometric Group Theory
Language: en
Pages: 389
Authors: Clara Löh
Categories: Mathematics
Type: BOOK - Published: 2017-12-19 - Publisher: Springer

Inspired by classical geometry, geometric group theory has in turn provided a variety of applications to geometry, topology, group theory, number theory and gra
Mathematics in Cyber Research
Language: en
Pages: 524
Authors: Paul L. Goethals
Categories: Business & Economics
Type: BOOK - Published: 2022-02-06 - Publisher: CRC Press

In the last decade, both scholars and practitioners have sought novel ways to address the problem of cybersecurity. Innovative outcomes have included applicatio
Geometric Group Theory
Language: en
Pages: 339
Authors: Mladen Bestvina
Categories: Mathematics
Type: BOOK - Published: 2014-12-24 - Publisher: American Mathematical Soc.

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
Topics in Geometric Group Theory
Language: en
Pages: 348
Authors: Pierre de la Harpe
Categories: Mathematics
Type: BOOK - Published: 2000-09-15 - Publisher: University of Chicago Press

In this book, Pierre de la Harpe provides a concise and engaging introduction to geometric group theory, a new method for studying infinite groups via their int
Geometric Group Theory
Language: en
Pages: 389
Authors: Clara Löh
Categories: Mathematics
Type: BOOK - Published: 2018-01-19 - Publisher: Springer

Inspired by classical geometry, geometric group theory has in turn provided a variety of applications to geometry, topology, group theory, number theory and gra
Algorithms in Geometric Group Theory
Language: en
Pages: 308
Authors: Zeph Grunschlag
Categories:
Type: BOOK - Published: 1999 - Publisher:

Geometric Group Theory Down Under
Language: en
Pages: 344
Authors: John Cossey
Categories: Mathematics
Type: BOOK - Published: 1999-01-01 - Publisher: Walter de Gruyter

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a
Geometric and Cohomological Methods in Group Theory
Language: en
Pages: 331
Authors: Martin R. Bridson
Categories: Mathematics
Type: BOOK - Published: 2009-10-29 - Publisher: Cambridge University Press

An extended tour through a selection of the most important trends in modern geometric group theory.
Applied Group Theory
Language: en
Pages: 373
Authors: George H. Duffey
Categories: Science
Type: BOOK - Published: 1992 - Publisher: