Group Theory, Statistics, and Cryptography: AMS Special Session Combinatorial and Statistical Group Theory, April 12-13, 2003, New York University

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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.
 

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Contents

On power and commutation transitive power commutative and restricted Gromov groups
1
Braidbased cryptography
5
Axiomatics
35
The density of small words in a free group is 0
47
Braid groups and AutF2 are not rigid
51
On varieties of groups in which all periodic groups are abelian
55
algorithmic problems
63
Weak hyperbolicity and free constructions
103
Some properties of the conjugacy class growth function
113
Boundary test elements
119
Geodesics in the braid group on three strands
133
Remarks on the growth of inverse semigroups
151
Assessing security of some group based cryptosystems
167
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