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.
Uniform growth, actions on trees and $GL 2$ by R. C. Alperin and G. A. Noskov Centralisers of involutions in black box groups by A. V. Borovik Measuring sets in infinite groups by A. V. Borovik, A. G. Myasnikov, and V. Shpilrain Quantum one-way automata and finitely generated groups by E. M. Freden Spectral properties of a torsion-free weakly branch group defined by a three state automation by R. I. Grigorchuk and A. Zuk Malnormal subgroups of free groups by T. Jitsukawa Variants of product replacement by C. R. Leedham-Green and S. H. Murray Weakly amenable groups by D. V. Osin The Knuth-Bendix procedure for strings and large rewriting systems by C. C. Sims.