Non Commutative Cryptography And Complexity Of Group Theoretic Problems
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Non commutative Cryptography and Complexity of Group theoretic Problems
Author | : Alexei G. Myasnikov,Vladimir Shpilrain,Alexander Ushakov |
Publsiher | : Unknown |
Total Pages | : 135 |
Release | : 2012 |
Genre | : Combinatorial group theory |
ISBN | : OCLC:732847858 |
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Non commutative Cryptography and Complexity of Group theoretic Problems
Author | : Sandy Weedman |
Publsiher | : Createspace Independent Publishing Platform |
Total Pages | : 402 |
Release | : 2014-10-30 |
Genre | : Electronic Book |
ISBN | : 1974040321 |
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This book is about relations between three different areas of mathematics and theoretical computer science: combinatorial group theory, cryptography, and complexity theory. It explores how non-commutative (infinite) groups, which are typically studied in combinatorial group theory, can be used in public-key cryptography. It also shows that there is remarkable feedback from cryptography to combinatorial group theory because some of the problems motivated by cryptography appear to be new to group theory, and they open many interesting research avenues within group theory. In particular, a lot of emphasis in the book is put on studying search problems, as compared to decision problems traditionally studied in combinatorial group theory.
Non commutative Cryptography and Complexity of Group theoretic Problems
Author | : Alexei G. Myasnikov,Vladimir Shpilrain,Alexander Ushakov |
Publsiher | : American Mathematical Soc. |
Total Pages | : 402 |
Release | : 2024 |
Genre | : Mathematics |
ISBN | : 9780821887004 |
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Non commutative Cryptography and Complexity of Group theoretic Problems
Author | : Alexei G. Myasnikov,Vladimir Shpilrain,Alexander Ushakov |
Publsiher | : American Mathematical Soc. |
Total Pages | : 402 |
Release | : 2011 |
Genre | : Combinatorial group theory |
ISBN | : 9780821853603 |
Download Non commutative Cryptography and Complexity of Group theoretic Problems Book in PDF, Epub and Kindle
Examines the relationship between three different areas of mathematics and theoretical computer science: combinatorial group theory, cryptography, and complexity theory. It explores how non-commutative (infinite) groups can be used in public key cryptography. It also shows that there is remarkable feedback from cryptography to combinatorial group theory because some of the problems motivated by cryptography appear to be new to group theory.
Algorithmic Problems of Group Theory Their Complexity and Applications to Cryptography
Author | : Delaram Kahrobaei,Vladimir Shpilrain |
Publsiher | : Unknown |
Total Pages | : 123 |
Release | : 2015 |
Genre | : Algebra |
ISBN | : 1470422638 |
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Complexity and Randomness in Group Theory
Author | : Frédérique Bassino,Ilya Kapovich,Markus Lohrey,Alexei Miasnikov,Cyril Nicaud,Andrey Nikolaev,Igor Rivin,Vladimir Shpilrain,Alexander Ushakov,Pascal Weil |
Publsiher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 386 |
Release | : 2020-06-08 |
Genre | : Mathematics |
ISBN | : 9783110667028 |
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This book shows new directions in group theory motivated by computer science. It reflects the transition from geometric group theory to group theory of the 21st century that has strong connections to computer science. Now that geometric group theory is drifting further and further away from group theory to geometry, it is natural to look for new tools and new directions in group theory which are present.
Group based Cryptography
Author | : Alexei Myasnikov,Vladimir Shpilrain,Alexander Ushakov |
Publsiher | : Springer Science & Business Media |
Total Pages | : 183 |
Release | : 2008-11-04 |
Genre | : Mathematics |
ISBN | : 9783764388270 |
Download Group based Cryptography Book in PDF, Epub and Kindle
Covering relations between three different areas of mathematics and theoretical computer science, this book explores how non-commutative (infinite) groups, which are typically studied in combinatorial group theory, can be used in public key cryptography.
Computational and Combinatorial Group Theory and Cryptography
Author | : Benjamin Fine,Delaram Kahrobaei,Gerhard Rosenberger |
Publsiher | : American Mathematical Soc. |
Total Pages | : 199 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 9780821875636 |
Download Computational and Combinatorial Group Theory and Cryptography Book in PDF, Epub and Kindle
This volume contains the proceedings of the AMS Special Session on Computational Algebra, Groups, and Applications, held April 30-May 1, 2011, at the University of Nevada, Las Vegas, Nevada, and the AMS Special Session on the Mathematical Aspects of Cryptography and Cyber Security, held September 10-11, 2011, at Cornell University, Ithaca, New York. Over the past twenty years combinatorial and infinite group theory has been energized by three developments: the emergence of geometric and asymptotic group theory, the development of algebraic geometry over groups leading to the solution of the Tarski problems, and the development of group-based cryptography. These three areas in turn have had an impact on computational algebra and complexity theory. The papers in this volume, both survey and research, exhibit the tremendous vitality that is at the heart of group theory in the beginning of the twenty-first century as well as the diversity of interests in the field.