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Cambridge Studies in Advanced Mathematics #17: Groups Acting on Graphs

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Cambridge Studies in Advanced Mathematics #17: Groups Acting on Graphs Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

This 1989 monograph investigates groups acting on low-dimensional topological spaces, and for the most part the viewpoint is algebraic.

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.

Product Details

ISBN:
9780521180009
Author:
Dicks, Warren
Publisher:
Cambridge University Press
Author:
Dunwoody, M. J.
Location:
Cambridge
Subject:
Mathematics-Group Theory
Subject:
Algebra - General
Edition Description:
Trade paper
Series:
Cambridge Studies in Advanced Mathematics
Series Volume:
17
Publication Date:
20110231
Binding:
TRADE PAPER
Language:
English
Pages:
306
Dimensions:
9.02 x 5.98 x 0.67 in 0.99 lb

Related Subjects


Science and Mathematics » Biology » General
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Group Theory

Cambridge Studies in Advanced Mathematics #17: Groups Acting on Graphs New Trade Paper
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$56.95 In Stock
Product details 306 pages Cambridge University Press - English 9780521180009 Reviews:
"Synopsis" by , This 1989 monograph investigates groups acting on low-dimensional topological spaces, and for the most part the viewpoint is algebraic.
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