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Non-commutative Cryptography and Complexity of Group-theoretic Problems

About this Title

Alexei Myasnikov, Stevens Institute of Technology, Hoboken, NJ, Vladimir Shpilrain, City College of New York, New York, NY and Alexander Ushakov, Stevens Institute of Technology, Hoboken, NJ

Publication: Mathematical Surveys and Monographs
Publication Year 2011: Volume 177
ISBNs: 978-0-8218-5360-3 (print); 978-1-4704-1404-7 (online)
MathSciNet review: 2850384
MSC: Primary 68-02; Secondary 11T71, 20F10, 68P25, 68Q25, 94-02, 94A60, 94A62

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Table of Contents

Front/Back Matter


Part 1. Background on groups, complexity, and cryptography

Part 2. Non-commutative cryptography

Part 3. Generic complexity and cryptanalysis

Part 4. Asymptotically dominant properties and cryptanalysis

Part 5. Word and conjugacy search problems in groups

Part 6. Word problem in some special classes of groups

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