Vladimir Shpilrain

Sean Cleary

Stephen Berman

Alexei G. Myasnikov

Robert Gilman

This volume grew out of two AMS conferences held at Columbia University (New York, NY) and the Stevens Institute of Technology (Hoboken, NJ) and presents articles on a wide variety of topics in group theory. Readers will find a variety of contributions, including a collection of over 170 open problems in combinatorial group theory, three excellent survey papers (on boundaries of hyperbolic groups, on fixed points of free group automorphisms, and on groups of automorphisms of compact Riemann surfaces), and several original research papers that represent the diversity of current trends in combinatorial and geometric group theory. The book is an excellent reference source for graduate students and research mathematicians interested in various aspects of group theory.

AMS Special Session, Combinatorial Group Theory, November 4-5, 2000, New York, New York : AMS Special Session, Computational Group Theory, April 28-29, 2001, Hoboken, New Jersey

Combinatorial and Geometric Group Theory

Alexandre Borovik

Since its origin in the early 20th century, combinatorial group theory has been primarily concerned with algorithms for solving particular problems on groups given by generators and relations: word problems, conjugacy problems, isomorphism problems, etc. Recent years have seen the focus of algorithmic group theory shift from the decidability/undecidability type of result to the complexity of algorithms. Papers in this volume reflect that paradigm shift. Articles are based on the AMS/ASL Joint Special Session, Interactions Between Logic, Group Theory and Computer Science. The volume is suitable for graduate students and research mathematicians interested in computational problems of group theory.

AMS-ASL Joint Special Session, Interactions Between Logic, Group Theory, and Computer Science, January 15-16, 2003, Baltimore, Maryland

Computational and Experimental Group Theory

Alexei G. Myasnikov

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