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

Benjamin Fine

Gerhard Rosenberger

Paul Baginski

Anja Moldenhauer

This proceedings volume documents the contributions presented at the conference held at Fairfield University and at the Graduate Center, CUNY in 2018 celebrating the New York Group Theory Seminar, in memoriam Gilbert Baumslag, and to honor Benjamin Fine and Anthony Gaglione. It includes several expert contributions by leading figures in the group theory community and provides a valuable source of information on recent research developments.

Proceedings of the Conference held at Fairfield University and at the Graduate Center, CUNY, November 1-2, 2018

Elementary Theory of Groups and Group Rings, and Related Topics

Igor Rivin

Frédérique Bassino

Ilya Kapovich

Markus Lohrey

Alexei Miasnikov

Cyril Nicaud

Andrey Nikolaev

Alexander Ushakov

Pascal Weil

This book shows new directions in group theory motivated by computer science. It reflects the transition from geometric group theory to group theory of the 21st century that has strong connections to computer science. Now that geometric group theory is drifting further and further away from group theory to geometry, it is natural to look for new tools and new directions in group theory which are present.

GAGTA BOOK 1

Complexity and Randomness in Group Theory

Alexander Mikhalev

Jie-tai Yu

The main purpose of this book is to show how ideas from combinatorial group theory have spread to two other areas of mathematics: the theory of Lie algebras and affine algebraic geometry. Some of these ideas, in turn, came to combinatorial group theory from low-dimensional topology in the beginning of the 20th Century.

Free Groups, Polynomials, and Free Algebras

Combinatorial Methods

Vladimir Shpilrain

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