This book contains the proceedings of two workshops on computational aspects of geometric group theory. The workshops, held in the winter of 1994 at DIMACS and at the Geometry Center, covered practical group theoretic computation and theoretical problems. Containing both research and expository articles, this book is the only one available concentrating on the computational aspects of geometric group theory. Because this area involves an interplay between group theory, geometry, and automata theory, the expository articles in this book should help researchers in these fields to make connections to the other areas.