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.
General
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