Contemporary Mathematics 2002; 124 pp; softcover Volume: 298 ISBN10: 0821831585 ISBN13: 9780821831588 List Price: US$48 Member Price: US$38.40 Order Code: CONM/298
 This book gives a nice overview of the diversity of current trends in computational and statistical group theory. It presents the latest research and a number of specific topics, such as growth, black box groups, measures on groups, product replacement algorithms, quantum automata, and more. It includes contributions by speakers at AMS Special Sessions at The University of Nevada (Las Vegas) and the Stevens Institute of Technology (Hoboken, NJ). It is suitable for graduate students and research mathematicians interested in group theory. Readership Graduate students and research mathematicians interested in group theory. Table of Contents  R. C. Alperin and G. A. Noskov  Uniform growth, actions on trees and \(GL_2\)
 A. V. Borovik  Centralisers of involutions in black box groups
 A. V. Borovik, A. G. Myasnikov, and V. Shpilrain  Measuring sets in infinite groups
 E. M. Freden  Quantum oneway automata and finitely generated groups
 R. I. Grigorchuk and A. Żuk  Spectral properties of a torsionfree weakly branch group defined by a three state automaton
 T. Jitsukawa  Malnormal subgroups of free groups
 C. R. LeedhamGreen and S. H. Murray  Variants of product replacement
 D. V. Osin  Weakly amenable groups
 C. C. Sims  The KnuthBendix procedure for strings and large rewriting systems
