Groups Acting on Graphs
(Book #17 in the Cambridge Studies in Advanced Mathematics Series)
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Book Overview
Originally published in 1989, this is an advanced text and research monograph on groups acting on low-dimensional topological 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. 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 which require knowledge of homological algebra and algebraic topology. This book is essential reading for anyone contemplating working in the subject.
Format:Paperback
Language:English
ISBN:0521180007
ISBN13:9780521180009
Release Date:April 2011
Publisher:Cambridge University Press
Length:306 Pages
Weight:0.99 lbs.
Dimensions:0.7" x 6.0" x 9.0"
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