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Group Theory, Statistics, and Cryptography
Edited by: Alexei G. Myasnikov, and Vladimir Shpilrain, City College of New York, NY
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Contemporary Mathematics
2004; 177 pp; softcover
Volume: 360
ISBN-10: 0-8218-3444-4
ISBN-13: 978-0-8218-3444-2
List Price: US$65
Member Price: US$52
Order Code: CONM/360
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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.

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 -- Braid-based 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
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