This volume consists of contributions by participants and speakers in special
sessions at two AMS meetings. These special sessions concerned algorithmic prob-
lems of group theory, their complexity, and applications to cryptography. The AMS
Special Session on Algorithmic Problems of Group Theory and Their Complexity
was held at the San Diego Convention Center in January 2013 and the AMS Special
Session on Algorithmic Problems of Group Theory and Applications to Information
Security was held at Boston College in April 2013.
Over the past few years the field of group-based cryptography has attracted the
attention of both group theorists and cryptographers. The new techniques inspired
by algorithmic problems in non-commutative group theory and their complexity
have offered promising ideas for developing new cryptographic primitives. This
volume contains both survey and research papers on algorithmic group theory and
applications to cryptography.
We are grateful to the American Mathematical Society for their help in the
publication of this volume. In particular we thank Christine Thivierge for her
patience and assistance in putting this volume together.