Groups acting on graphs
著者
書誌事項
Groups acting on graphs
（Cambridge studies in advanced mathematics, 17）
Cambridge University Press, 2010
- : pbk
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注記
Originally published: 1989
"First paperback edition 2010" -- T.p. verso
Includes bibliographical references (p. 272-275) and indexes
"Paperback Re-issue" -- Back cover
内容説明・目次
内容説明
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.
目次
- 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. Poincare duality
- 6. Two-dimensional complexes and three-dimensional manifolds
- Bibliography and author index
- Symbol index
- Subject index.
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