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[null,"1.","Record Nr.",null,"UNINA9910826587203321"]
[null,null,"Titolo",null,"Algorithmic problems of group theory, their complexity, and applications to cryptography / / Delaram Kahrobaei, Vladimir Shpilrain, editors"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2015"]
[{"$nulls":4},"©2015"]
[null,null,"ISBN",null,"1-4704-2263-8"]
[null,null,"Descrizione fisica",null,"1 online resource (123 p.)"]
[null,null,"Collana",null,"Contemporary Mathematics, , 1098-3627 ; ; 633"]
[null,null,"Classificazione",null,"20-XX68-XX"]
[null,null,"Disciplina",null,"652/.8015122"]
[null,null,"Soggetti",null,"Group theory"]
[{"$nulls":4},"Noncommutative algebras"]
[{"$nulls":4},"Algorithms"]
[{"$nulls":4},"Data encryption (Computer science)"]
[{"$nulls":4},"Cryptography"]
[{"$nulls":4},"Algebra"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"AMS Special Session on Algorithmic Problems of Group Theory and Applications to Information Security, April 6-7, 2013, Boston College, Chestnut Hill, MA.\"--Cover."]
[{"$nulls":4},"\"AMS Special Session on Algorithmic Problems of Group Theory and Their Complexity, January 9-10, 2013, San Diego, CA.\"--Cover."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references at the end of each chapters."]
[null,null,"Nota di contenuto",null,"\"\"Cover\"\"; \"\"Title page\"\"; \"\"Contents\"\"; \"\"Preface\"\"; \"\"Secret sharing using non-commutative groups and the shortlex order\"\"; \"\"1. Introduction\"\"; \"\"2. Formal Definition\"\"; \"\"3. Shamirâ€?s Secret Sharing Scheme\"\"; \"\"4. Secret Sharing Using Non-commutative Groups\"\"; \"\"5. Updating Relators\"\"; \"\"6. Conclusion\"\"; \"\"References\"\"; \"\"An algorithm that decides conjugacy in a certain generalized free product\"\"; \"\"1. Introduction\"\"; \"\"2. Preliminaries\"\"; \"\"3. The Algorithm\"\"; \"\"References\"\"; \"\"Classification of automorphic conjugacy classes in the free group on two generators\"\"; \"\"1. Introduction\"\""]
[{"$nulls":4},"\"\"2. The graph Î?(  )\"\"\"\"3. Non-root classes\"\"; \"\"4. Root classes\"\"; \"\"5. Enumeration\"\"; \"\"Appendix A. Table of automorphic conjugacy classes\"\"; \"\"Appendix B. Number of automorphic conjugacy classes of each type\"\"; \"\"Appendix C. Number of paths of each size\"\"; \"\"Acknowledgement\"\"; \"\"References\"\"; \"\"On elementary free groups\"\"; \"\"1. Introduction\"\"; \"\"2. The Tarski Problems and Elementary Free "]
[{"$nulls":4},"Groups\"\"; \"\"3. Surface Groups and Magnusâ€? Theorem\"\"; \"\"4. Cyclic Centralizers and Commuting Elements\"\"; \"\"5. Hyperbolicity and Stable Hyperbolicity\"\"; \"\"6. The Retract Theorem and Turner Groups\"\""]
[{"$nulls":4},"\"\"7. Conjugacy Separability of Elementary Free Groups\"\"\"\"8. Tame Automorphisms of Elementary Free Groups\"\"; \"\"9. Faithful Representations in       (2,\\C)\"\"; \"\"References\"\"; \"\"An application of a localized version of an axiom of Ian Chiswell\"\"; \"\"1. Introduction\"\"; \"\"2. Questions\"\"; \"\"References\"\"; \"\"A note on Stallingsâ€? pregroups\"\"; \"\"1. Introduction\"\"; \"\"2. Adds, Prees and Pregroups\"\"; \"\"3. Kushnerâ€?s Generalization of a Pregroup. T2-prees\"\"; \"\"4. Axiom [GLS2]\"\"; \"\"5. Generalizations\"\"; \"\"References\"\"; \"\"A CCA secure cryptosystem using matrices over group rings\"\""]
[{"$nulls":4},"\"\"1. Cramer-Shoup cryptosystem\"\"\"\"2. A CCA-2 secure cryptosystem using matrices over group rings\"\"; \"\"3. Adaptive CCA security for matrices over group rings\"\"; \"\"References\"\"; \"\"The MOR cryptosystem and finite   -groups\"\"; \"\"1. Introduction\"\"; \"\"2. Definitions and notations\"\"; \"\"3. The MOR cryptosystem\"\"; \"\"4. MOR cryptosystems on finite   -groups using   â€²-automorphisms\"\"; \"\"5. The MOR cryptosystem and elementary abelian   -group\"\"; \"\"6. The extra-special   -groups and its automorphism group\"\"; \"\"7. MOR cryptosystems on finite   -groups using   -automorphisms\"\"; \"\"8. Conclusion\"\""]
[{"$nulls":4},"\"\"4. Open problems\"\""]