The papers in this book represent the current state of knowledge in group theory. It includes articles of current interest written by such scholars as S.M. Gersten, R.I. Grigorchuk, P.H. Kropholler, A. Lubotsky, A.A. Razborov and E. Zelmanov. The contributed articles, all refereed, cover a wide range of topics in combinatorial and geometric group theory. The volume will be indispensable to all researchers in the area.