Group Theory, Statistics, and Cryptography
About this Title
Alexei G. Myasnikov and Vladimir Shpilrain, Editors
Publication: Contemporary Mathematics
Publication Year : Volume 360
ISBNs: 978-0-8218-3444-2 (print); 978-0-8218-7950-4 (online)
MathSciNet review: 2105430
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.
Graduate students and research mathematicians interested in group theory and its applications to cryptography.
Table of Contents
- Peter Ackermann, Volkmar Große Rebel and Gerhard Rosenberger – On power- and commutation transitive, power commutative, and restricted Gromov groups [MR 2105431]
- Patrick Dehornoy – Braid-based cryptography [MR 2105432]
- Benjamin Fine, Anthony M. Gaglione and Dennis Spellman – Discriminating and squarelike groups. I. Axiomatics [MR 2105433]
- Richard Z. Goldstein – The density of small words in a free group is 0 [MR 2105434]
- Stephen P. Humphries – Braid groups and are not rigid [MR 2105435]
- S. V. Ivanov and A. M. Storozhev – On varieties of groups in which all periodic groups are abelian [MR 2105436]
- Olga G. Kharlampovich, Alexei G. Myasnikov, Vladimir N. Remeslennikov and Denis E. Serbin – Subgroups of fully residually free groups: algorithmic problems [MR 2105437]
- D. V. Osin – Weak hyperbolicity and free constructions [MR 2105438]
- Igor Rivin – Some properties of the conjugacy class growth function [MR 2105439]
- Edward C. Turner and Charles F. Rocca – Boundary test elements [MR 2105440]
- Lucas Sabalka – Geodesics in the braid group on three strands [MR 2105441]
- L. M. Shneerson – Remarks on the growth of inverse semigroups [MR 2105442]
- Vladimir Shpilrain – Assessing security of some group based cryptosystems [MR 2105443]