Browsing by Subject 512.2

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  • 1384.pdf.jpg
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  • Authors: Myasnikov, Alexei G.; Shpilrain, Vladimir; Ushakov, Alexander (2008)

  • This book is about relations between three di?erent areas of mathematics and theoreticalcomputer science: combinatorialgroup theory, cryptography,and c- plexity theory. We explorehownon-commutative(in?nite) groups,which arety- callystudiedincombinatorialgrouptheory,canbeusedinpublickeycryptography. We also show that there is a remarkable feedback from cryptography to com- natorial group theory because some of the problems motivated by cryptography appear to be new to group theory, and they open many interesting research - enues within group theory. Then, we employ complexity theory, notably generic case complexity of algorithms,for cryptanalysisof various cryptographicprotocols based ...

  • 3437-'Zeta Functions of Groups and Rings.pdf.jpg
  • Book


  • Authors: Du Sautoy, Marcus.; Woodward, Luke; Woodward, Luke (2008)

  • The study of the subgroup growth of infinite groups is an area of mathematical research that has grown rapidly since its inception at the Groups St. Andrews conference in 1985. It has become a rich theory requiring tools from and having applications to many areas of group theory. However, one area within this study has grown explosively in the last few years. This is the study of the zeta functions of groups with polynomial sub-group growth, in particular for torsion-free finitely-generated nilpotent groups. The purpose of this book is to bring into print significant and as yet unpublished work from three areas of the theory of zeta functions of groups.

Browsing by Subject 512.2

Jump to: 0-9 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
or enter first few letters:  
Showing results 1 to 2 of 2
  • 1384.pdf.jpg
  • Book


  • Authors: Myasnikov, Alexei G.; Shpilrain, Vladimir; Ushakov, Alexander (2008)

  • This book is about relations between three di?erent areas of mathematics and theoreticalcomputer science: combinatorialgroup theory, cryptography,and c- plexity theory. We explorehownon-commutative(in?nite) groups,which arety- callystudiedincombinatorialgrouptheory,canbeusedinpublickeycryptography. We also show that there is a remarkable feedback from cryptography to com- natorial group theory because some of the problems motivated by cryptography appear to be new to group theory, and they open many interesting research - enues within group theory. Then, we employ complexity theory, notably generic case complexity of algorithms,for cryptanalysisof various cryptographicprotocols based ...

  • 3437-'Zeta Functions of Groups and Rings.pdf.jpg
  • Book


  • Authors: Du Sautoy, Marcus.; Woodward, Luke; Woodward, Luke (2008)

  • The study of the subgroup growth of infinite groups is an area of mathematical research that has grown rapidly since its inception at the Groups St. Andrews conference in 1985. It has become a rich theory requiring tools from and having applications to many areas of group theory. However, one area within this study has grown explosively in the last few years. This is the study of the zeta functions of groups with polynomial sub-group growth, in particular for torsion-free finitely-generated nilpotent groups. The purpose of this book is to bring into print significant and as yet unpublished work from three areas of the theory of zeta functions of groups.