ISBN-10:
0821834444
ISBN-13:
2900821834441
Pub. Date:
10/14/2004
Publisher:
American Mathematical Society
Group Theory, Statistics, and Cryptography: AMS Special Session Combinatorial and Statistical Group Theory, April 12-13, 2003, New York University (Contemporary Mathematics Series, No.360)

Group Theory, Statistics, and Cryptography: AMS Special Session Combinatorial and Statistical Group Theory, April 12-13, 2003, New York University (Contemporary Mathematics Series, No.360)

by Alexei G. Myasnikov

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Overview

Group Theory, Statistics, and Cryptography: AMS Special Session Combinatorial and Statistical Group Theory, April 12-13, 2003, New York University (Contemporary Mathematics Series, No.360)

This volume consists of contributions by speakers at an April 2003 meeting, 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. Specific topics include braid-based cryptography, subgroups of fully residual free groups, and boundary test elements. The book is suitable for graduate students and researchers interested in group theory and its applications to cryptography. There is no subject index. Annotation ©2004 Book News, Inc., Portland, OR

Product Details

ISBN-13: 2900821834441
Publisher: American Mathematical Society
Publication date: 10/14/2004
Series: Contemporary Mathematics Series
Pages: 177
Product dimensions: 6.00(w) x 1.25(h) x 9.00(d)

Table of Contents

Prefacev
On power- and commutation transitive, power commutative, and restricted Gromov groups1
Braid-based cryptography5
Discriminating and squarelike groups I: Axiomatics35
The density of small words in a free group is 047
Braid groups and Aut(F[subscript 2]) are not rigid51
On varieties of groups in which all periodic groups are abelian55
Subgroups of fully residually free groups: algorithmic problems63
Weak hyperbolicity and free constructions103
Some properties of the conjugacy class growth function113
Boundary test elements119
Geodesics in the braid group on three strands133
Remarks on the growth of inverse semigroups151
Assessing security of some group based cryptosystems167

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