Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Group Theory, Statistics, and Cryptography
 
Edited by: Alexei G. Myasnikov
Vladimir Shpilrain City College of New York, New York, NY
Group Theory, Statistics, and Cryptography
Softcover ISBN:  978-0-8218-3444-2
Product Code:  CONM/360
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7950-4
Product Code:  CONM/360.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3444-2
eBook: ISBN:  978-0-8218-7950-4
Product Code:  CONM/360.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Group Theory, Statistics, and Cryptography
Click above image for expanded view
Group Theory, Statistics, and Cryptography
Edited by: Alexei G. Myasnikov
Vladimir Shpilrain City College of New York, New York, NY
Softcover ISBN:  978-0-8218-3444-2
Product Code:  CONM/360
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7950-4
Product Code:  CONM/360.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3444-2
eBook ISBN:  978-0-8218-7950-4
Product Code:  CONM/360.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3602004; 177 pp
    MSC: Primary 20; 57; 68; 94;

    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
     
     
    • Articles
    • 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 ${\rm Aut}({\rm F}_2)$ 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 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 3602004; 177 pp
MSC: Primary 20; 57; 68; 94;

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.

  • Articles
  • 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 ${\rm Aut}({\rm F}_2)$ 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 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.