Over the past few years the field of group-based cryptography has attracted attention from 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 protocols. The papers in this volume cover algorithmic group theory and applications to cryptography.

Secret sharing using non-commutative groups and the shortlex order by B. Cavallo and D. KahrobaeiAn algorithm that decides conjugacy in a certain generalized free product by A. E. ClementClassification of automorphic conjugacy classes in the free group on two generators by B. Cooper and E. RowlandOn elementary free groups by B. Fine, A. Gaglione, G. Rosenberger, and D. SpellmanAn application of a localized version of an axiom of Ian Chiswell by A. M. Gaglione, S. Lipschutz, and D. SpellmanA note on Stallings' pregroups by A. M. Gaglione, S. Lipschutz, and D. SpellmanA CCA secure cryptosystem using matrices over group rings by D. Kahrobaei, C. Koupparis, and V. ShpilrainThe MOR cryptosystem and finite $p$-groups by A. MahalanobisA group theoretical ElGamal cryptosystem based on a semidirect product of groups and a proposal for a signature protocol by A. I. S. MoldenhauerOn some algorithmic properties of finite state automorphisms of rooted trees by B. Steinberg