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Synopsis
This 1989 monograph investigates groups acting on low-dimensional topological spaces, and for the most part the viewpoint is algebraic.
Booknews
An advanced text/research monograph on groups acting on low- dimensional topological spaces; 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. Annotation c. Book News, Inc., Portland, OR (booknews.com)