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An overview of the diversity of current trends in computational and statistical group theory. The book presents the latest research and a number of specific topics, such as growth, black box groups, measures on groups, product replacement algorithms and quantum automata. It includes contributions by speakers at AMS Special Sessions at the University of Nevada (Las Vegas) and the Stevens Institute of Technology (Hoboken, New Jersey). It is suitable for graduate students and research mathematicians interested in group theory.

The focus of algorithmic group theory shifted from the decidability/undecidability type of result to the complexity of algorithms. This title contains papers that reflect that paradigm shift. It presents articles that are based on the AMS/ASL Joint Special Session, Interactions Between Logic, Group Theory and Computer Science.