Groups Acting on Graphs

Groups Acting on Graphs

by Warren Dicks, M. J. Dunwoody
     
 

ISBN-10: 0521180007

ISBN-13: 9780521180009

Pub. Date: 11/04/2010

Publisher: Cambridge University Press

This is an advanced text and research monograph on groups acting on low-dimensional toplogical spaces, and for the most part the viewpoint is algebraic. Much of the book occurs at the one-dimensional level, where the topology becomes graph theory. Here the treatment includes several of the standard results on groups acting on trees, as well as many original results…  See more details below

Overview

This is an advanced text and research monograph on groups acting on low-dimensional toplogical spaces, and for the most part the viewpoint is algebraic. Much of the book occurs at the one-dimensional level, where the topology becomes graph theory. Here the treatment includes several of the standard results on groups acting on trees, as well as many original results on ends of groups and Boolean rings of graphs. Two-dimensional topics include the characterization of Poincare duality groups and accessibility of almost finitely presented groups. The main Three-dimensional topics are the equivariant loop and sphere theorems. The prerequisites grow as the book progresses up the dimensions. A familiarity with group theory is sufficient background for at least the first third of the book, while the later chapters occasionally state without proof and then apply various facts normally found in one-year courses on homological algebra and algebraic topology.

Product Details

ISBN-13:
9780521180009
Publisher:
Cambridge University Press
Publication date:
11/04/2010
Series:
Cambridge Studies in Advanced Mathematics Series, #17
Edition description:
Reissue
Pages:
306
Product dimensions:
5.98(w) x 9.02(h) x 0.67(d)

Table of Contents

Preface; Conventions; 1. Groups and graphs; 2. Cutting graphs and building trees; 3. The almost stability theorem; 4. Applications of the almost stability theorem; 5. Poincaré duality; 6. Two-dimensional complexes and three-dimensional manifolds; Bibliography and author index; Symbol index; Subject index.

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