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| Author | : Delaram Kahrobaei |
| Publisher | : |
| Total Pages | : 123 |
| Release | : 2015 |
| Genre | : Algebra |
| ISBN | : 9781470422639 |
| Author | : Delaram Kahrobaei |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 136 |
| Release | : 2015-02-25 |
| Genre | : Business & Economics |
| ISBN | : 0821898590 |
This volume contains the proceedings of the AMS Special Session on Algorithmic Problems of Group Theory and Their Complexity, held January 9-10, 2013 in San Diego, CA and the AMS Special Session on Algorithmic Problems of Group Theory and Applications to Information Security, held April 6-7, 2013 at Boston College, Chestnut Hill, MA. Over the past few years the field of group-based cryptography has attracted attention from both group theorists and cryptographers. The new techniques inspired by algorithmic problems in non-commutative group theory and their complexity have offered promising ideas for developing new cryptographic protocols. The papers in this volume cover algorithmic group theory and applications to cryptography.
| Author | : Alexei Myasnikov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 192 |
| Release | : 2008-07-17 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 3764388269 |
This book is about relations between three different areas of mathematics and theoretical computer science: combinatorial group theory, cryptography, and complexity theory. It is explored how non-commutative (infinite) groups, which are typically studied in combinatorial group theory, can be used in public key cryptography. It is also shown that there is a 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. Then, complexity theory, notably generic-case complexity of algorithms, is employed for cryptanalysis of various cryptographic protocols based on infinite groups, and the ideas and machinery from the theory of generic-case complexity are used to study asymptotically dominant properties of some infinite groups that have been applied in public key cryptography so far. Its elementary exposition makes the book accessible to graduate as well as undergraduate students in mathematics or computer science.
| Author | : Delaram Kahrobaei |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2024 |
| Genre | : Business & Economics |
| ISBN | : 9781470474690 |
| Author | : Alexei G. Myasnikov |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 402 |
| Release | : 2011 |
| Genre | : Computers |
| ISBN | : 0821853600 |
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.
| Author | : Frédérique Bassino |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 386 |
| Release | : 2020-06-08 |
| Genre | : Mathematics |
| ISBN | : 3110667029 |
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.
| Author | : Maria Isabel Gonzalez Vasco |
| Publisher | : CRC Press |
| Total Pages | : 244 |
| Release | : 2015-04-01 |
| Genre | : Computers |
| ISBN | : 1584888377 |
Group theory appears to be a promising source of hard computational problems for deploying new cryptographic constructions. This reference focuses on the specifics of using groups, including in particular non-Abelian groups, in the field of cryptography. It provides an introduction to cryptography with emphasis on the group theoretic perspective, making it one of the first books to use this approach. The authors provide the needed cryptographic and group theoretic concepts, full proofs of essential theorems, and formal security evaluations of the cryptographic schemes presented. They also provide references for further reading and exercises at the end of each chapter.
| Author | : Paul M. N. Feehan |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 359 |
| Release | : 2015-07-21 |
| Genre | : Geometry, Differential |
| ISBN | : 1470414643 |
This volume contains the proceedings of the Conference on Analysis, Complex Geometry and Mathematical Physics: In Honor of Duong H. Phong, which was held from May 7-11, 2013, at Columbia University, New York. The conference featured thirty speakers who spoke on a range of topics reflecting the breadth and depth of the research interests of Duong H. Phong on the occasion of his sixtieth birthday. A common thread, familiar from Phong's own work, was the focus on the interplay between the deep tools of analysis and the rich structures of geometry and physics. Papers included in this volume cover topics such as the complex Monge-Ampère equation, pluripotential theory, geometric partial differential equations, theories of integral operators, integrable systems and perturbative superstring theory.
| Author | : Paul Baginski |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 272 |
| Release | : 2020-02-10 |
| Genre | : Mathematics |
| ISBN | : 311063838X |
This proceedings volume documents the contributions presented at the conference held at Fairfield University and at the Graduate Center, CUNY in 2018 celebrating the New York Group Theory Seminar, in memoriam Gilbert Baumslag, and to honor Benjamin Fine and Anthony Gaglione. It includes several expert contributions by leading figures in the group theory community and provides a valuable source of information on recent research developments.
| Author | : Stéphane Ballet |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 316 |
| Release | : 2015-04-20 |
| Genre | : Computers |
| ISBN | : 1470414619 |
This volume contains the proceedings of the 14th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory (AGCT), held June 3-7, 2013, at CIRM, Marseille, France. These international conferences, held every two years, have been a major event in the area of algorithmic and applied arithmetic geometry for more than 20 years. This volume contains 13 original research articles covering geometric error correcting codes, and algorithmic and explicit arithmetic geometry of curves and higher dimensional varieties. Tools used in these articles include classical algebraic geometry of curves, varieties and Jacobians, Suslin homology, Monsky-Washnitzer cohomology, and -functions of modular forms.
