Google full text of our books:


The Geometry and Topology of Coxeter Groups. (LMS-32)
Michael W. Davis

Hardcover | 2007 | $125.00 | ($75.00) | £92.95 | ISBN: 9780691131382
600 pp. | 6 x 9 | 31 line illus. 3 tables.
Add to Shopping Cart

eBook | ISBN: 9781400845941 |
Our eBook editions are available from these online vendors

Reviews | Table of Contents
Chapter 1[PDF] pdf-icon

Google full text of this book:

The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint of geometric group theory. Groups generated by reflections are ubiquitous in mathematics, and there are classical examples of reflection groups in spherical, Euclidean, and hyperbolic geometry. Any Coxeter group can be realized as a group generated by reflection on a certain contractible cell complex, and this complex is the principal subject of this book. The book explains a theorem of Moussong that demonstrates that a polyhedral metric on this cell complex is nonpositively curved, meaning that Coxeter groups are "CAT(0) groups." The book describes the reflection group trick, one of the most potent sources of examples of aspherical manifolds. And the book discusses many important topics in geometric group theory and topology, including Hopf's theory of ends; contractible manifolds and homology spheres; the Poincaré Conjecture; and Gromov's theory of CAT(0) spaces and groups. Finally, the book examines connections between Coxeter groups and some of topology's most famous open problems concerning aspherical manifolds, such as the Euler Characteristic Conjecture and the Borel and Singer conjectures.


"This book is one of those that grows with the reader: A graduate student can learn many properties, details and examples of Coxeter groups, while an expert can read about aspects of recent results in the theory of Coxeter groups and use the book as a guide to the literature. I strongly recommend this book to anybody who has any interest in geometric group theory. Anybody who reads (parts of) this book with an open mind will get a lot out of it."--Ralf Gramlich, Mathematical Reviews

"The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint of geometric group theory."--L'Enseignement Mathematique

"[An] excellent introduction to other, important aspects of the study of geometric and topological approaches to group theory. Davis's exposition gives a delightful treatment of infinite Coxeter groups that illustrates their continued utility to the field."--John Meier, Bulletin of the AMS


"This is a comprehensive--nearly encyclopedic--survey of results concerning Coxeter groups. No other book covers the more recent important results, many of which are due to Michael Davis himself. This is an excellent, thoughtful, and well-written book, and it should have a wide readership among pure mathematicians in geometry, topology, representation theory, and group theory."--Graham A. Niblo, University of Southampton

"Davis's book is a significant addition to the mathematics literature and it provides an important access point for geometric group theory. Although the book is a focused research monograph, it does such a nice job of presenting important material that it will also serve as a reference for quite some time. In fact, for years to come mathematicians will be writing 'terminology and notation follow Davis' in the introductions to papers on the geometry and topology of infinite Coxeter groups."--John Meier, Lafayette College

Table of Contents


Subject Area:


Shopping Cart options:

  • For ebooks:

Our eBook editions are available
from these online vendors:

  • Amazon Kindle Store
  • Many of our ebooks are available through
    library electronic resources including these platforms:

  • Books at JSTOR
  • Ebrary
  • Ebook Library
  • EBSCO Ebooks
  • MyiLibrary
  • Dawsonera (UK)

    • For hardcover/paperback orders in United States, Canada, Latin America, Asia, and Australia

     Hardcover $125.00 | ($75.00) ISBN: 9780691131382

    Add to shopping cart
    View contents of your shopping cart

    • For hardcover/paperback orders in Europe, Africa, the Middle East, India, and Pakistan

     Hardcover  £92.95 ISBN: 9780691131382

    Add to shopping cart
    View contents of your shopping cart

    Prices subject to change without notice

    File created: 11/18/2016

    Questions and comments to:
    Princeton University Press

    holiday sale Holiday Book Sale
    New Book E-mails
    New In Print
    PUP Blog
    Princeton APPS
    Sample Chapters
    Princeton Legacy Library
    Exam/Desk Copy
    Recent Awards
    Princeton Shorts
    Freshman Reading
    PUP Europe
    About Us
    Contact Us
    PUP Home

    Bookmark and Share
    Send me emails
    about new books in:
    More Choices