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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.

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Book Details

ISBN: 9780521230339
ISBN-10: 0521230330
Format: Hardback
(228mm x 152mm x 21mm)
Pages: 300
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 9-Mar-1989
Country of Publication: United Kingdom

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Books By Author Warren Dicks

Groups Acting on Graphs by Warren Dicks

Groups Acting on Graphs

Paperback, February 2011
$72.86