Contemporary Mathematics 2004; 177 pp; softcover Volume: 360 ISBN10: 0821834444 ISBN13: 9780821834442 List Price: US$65 Member Price: US$52 Order Code: CONM/360
 This volume consists of contributions by speakers at the AMS Special Session on Combinatorial and Statistical Group Theory held at New York University. Readers will find a variety of contributions, including survey papers on applications of group theory in cryptography, research papers on various aspects of statistical group theory, and papers on more traditional combinatorial group theory. The book is suitable for graduate students and research mathematicians interested in group theory and its applications to cryptography. Readership Graduate students and research mathematicians interested in group theory and its applications to cryptography. Table of Contents  P. Ackermann, V. große Rebel, and G. Rosenberger  On power and commutation transitive, power commutative, and restricted Gromov groups
 P. Dehornoy  Braidbased cryptography
 B. Fine, A. M. Gaglione, and D. Spellman  Discriminating and squarelike groups I: Axiomatics
 R. Z. Goldstein  The density of small words in a free group is 0
 S. P. Humphries  Braid groups and Aut(F\(_2\)) are not rigid
 S. V. Ivanov and A. M. Storozhev  On varieties of groups in which all periodic groups are abelian
 O. G. Kharlampovich, A. G. Myasnikov, V. N. Remeslennikov, and D. E. Serbin  Subgroups of fully residually free groups: Algorithmic problems
 D. V. Osin  Weak hyperbolicity and free constructions
 I. Rivin  Some properties of the conjugacy class growth function
 E. C. Turner and C. F. Rocca  Boundary test elements
 L. Sabalka  Geodesics in the braid group on three strands
 L. M. Shneerson  Remarks on the growth of inverse semigroups
 V. Shpilrain  Assessing security of some group based cryptosystems
