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

By: Alexei G. Myasnikov (Editor), Vladimir Shpilrain (Editor)

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Paperback | 1 January 2004

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177 Pages

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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 grouptheory and its applications to cryptography.

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Preface	p. v
On power- and commutation transitive, power commutative, and restricted Gromov groups	p. 1
Braid-based cryptography	p. 5
Discriminating and squarelike groups I: Axiomatics	p. 35
The density of small words in a free group is 0	p. 47
Braid groups and Aut(F[subscript 2]) are not rigid	p. 51
On varieties of groups in which all periodic groups are abelian	p. 55
Subgroups of fully residually free groups: algorithmic problems	p. 63
Weak hyperbolicity and free constructions	p. 103
Some properties of the conjugacy class growth function	p. 113
Boundary test elements	p. 119
Geodesics in the braid group on three strands	p. 133
Remarks on the growth of inverse semigroups	p. 151
Assessing security of some group based cryptosystems	p. 167
Table of Contents provided by Ingram. All Rights Reserved.

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

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