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 ...

Groups Acting on Graphs 2011, Cambridge University Press, Cambridge

ISBN-13: 9780521180009

Trade paperback

Groups Acting on Graphs 2003, Cambridge University Press, Cambridge, England

ISBN-13: 9780521230339