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Groups Acting on Graphs : Cambridge Studies in Advanced Mathematics - Warren Dicks

Groups Acting on Graphs

Cambridge Studies in Advanced Mathematics

By: Warren Dicks, M.J. Dunwoody, B. Bollobas (Editor), W. Fulton (Editor), A. Katok (Editor)

Hardcover

Published: 31st March 1989
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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.

Preface
Conventions
Groups and graphs
Cutting graphs and building trees
The almost stability theorem
Applications of the almost stability theorem
PoincarT duality
Two-dimensional complexes and three-dimensional manifolds
Bibliography and author index
Symbol index
Subject index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521230339
ISBN-10: 0521230330
Series: Cambridge Studies in Advanced Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 300
Published: 31st March 1989
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 2.7
Weight (kg): 0.61
Edition Number: 2