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Algorithmic problems of group theory, their complexity, and applications to cryptography / [electronic resource] Delaram Kahrobaei, Vladimir Shpilrain, editors.

Contributor(s): Kahrobaei, Delaram, 1975- [editor.] | Shpilrain, Vladimir, 1960- [editor.].
Material type: materialTypeLabelBookSeries: Contemporary mathematics, v. 633.Publisher: Providence, Rhode Island : American Mathematical Society, [2014]Description: 1 online resource (pages cm.).Content type: text Media type: unmediated Carrier type: volumeSubject(s): Group theory -- Congresses | Noncommutative algebras -- Congresses | Algorithms -- Congresses | Cryptography -- Congresses | Data encryption (Computer science) -- Congresses | Algebra -- Congresses | Group theory and generalizations | Computer scienceAdditional physical formats: Algorithmic problems of group theory, their complexity, and applications to cryptography /DDC classification: 652/.8015122 Other classification: 20-XX | 68-XX Online resources: Contents | Contents
Contents:
Secret sharing using non-commutative groups and the shortlex order / Bren Cavallo and Delaram Kahrobaei -- http://www.ams.org/conm/633/ http://dx.doi.org/10.1090/conm/633/12646 An algorithm that decides conjugacy in a certain generalized free product / Anthony E. Clement -- http://www.ams.org/conm/633/ http://dx.doi.org/10.1090/conm/633/12647 Classification of automorphic conjugacy classes in the free group on two generators / Bobbe Cooper and Eric Rowland -- http://www.ams.org/conm/633/ http://dx.doi.org/10.1090/conm/633/12648 On elementary free groups / Benjamin Fine, Anthony Gaglione, Gerhard Rosenberger and Dennis Spellman -- http://www.ams.org/conm/633/ http://dx.doi.org/10.1090/conm/633/12649 An application of a localized version of an axiom of Ian Chiswell / Anthony M. Gaglione, Seymour Lipschutz and Dennis Spellman -- http://www.ams.org/conm/633/ http://dx.doi.org/10.1090/conm/633/12650 A note on Stallings' pregroups / Anthony M. Gaglione, Seymour Lipschutz and Dennis Spellman -- http://www.ams.org/conm/633/ http://dx.doi.org/10.1090/conm/633/12651 A CCA secure cryptosystem using matrices over group rings / Delaram Kahrobaei, Charalambos Koupparis and Vladimir Shpilrain -- http://www.ams.org/conm/633/ http://dx.doi.org/10.1090/conm/633/12652 The MOR cryptosystem and finite $p$-groups / Ayan Mahalanobis -- http://www.ams.org/conm/633/ http://dx.doi.org/10.1090/conm/633/12653 A group theoretical ElGamal cryptosystem based on a semidirect product of groups and a proposal for a signature protocol / Anja I. S. Moldenhauer -- http://www.ams.org/conm/633/ http://dx.doi.org/10.1090/conm/633/12654 On some algorithmic properties of finite state automorphisms of rooted trees / Benjamin Steinberg -- http://www.ams.org/conm/633/ http://dx.doi.org/10.1090/conm/633/12655
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"AMS Special Session on Algorithmic Problems of Group Theory and Their Complexity, January 9-10, 2013, San Diego, CA."

"AMS Special Session on Algorithmic Problems of Group Theory and Applications to Information Security, April 6-7, 2013, Boston College, Chestnut Hill, MA."

Includes bibliographical references.

Secret sharing using non-commutative groups and the shortlex order / Bren Cavallo and Delaram Kahrobaei -- An algorithm that decides conjugacy in a certain generalized free product / Anthony E. Clement -- Classification of automorphic conjugacy classes in the free group on two generators / Bobbe Cooper and Eric Rowland -- On elementary free groups / Benjamin Fine, Anthony Gaglione, Gerhard Rosenberger and Dennis Spellman -- An application of a localized version of an axiom of Ian Chiswell / Anthony M. Gaglione, Seymour Lipschutz and Dennis Spellman -- A note on Stallings' pregroups / Anthony M. Gaglione, Seymour Lipschutz and Dennis Spellman -- A CCA secure cryptosystem using matrices over group rings / Delaram Kahrobaei, Charalambos Koupparis and Vladimir Shpilrain -- The MOR cryptosystem and finite $p$-groups / Ayan Mahalanobis -- A group theoretical ElGamal cryptosystem based on a semidirect product of groups and a proposal for a signature protocol / Anja I. S. Moldenhauer -- On some algorithmic properties of finite state automorphisms of rooted trees / Benjamin Steinberg --

http://www.ams.org/conm/633/

http://dx.doi.org/10.1090/conm/633/12646

http://www.ams.org/conm/633/

http://dx.doi.org/10.1090/conm/633/12647

http://www.ams.org/conm/633/

http://dx.doi.org/10.1090/conm/633/12648

http://www.ams.org/conm/633/

http://dx.doi.org/10.1090/conm/633/12649

http://www.ams.org/conm/633/

http://dx.doi.org/10.1090/conm/633/12650

http://www.ams.org/conm/633/

http://dx.doi.org/10.1090/conm/633/12651

http://www.ams.org/conm/633/

http://dx.doi.org/10.1090/conm/633/12652

http://www.ams.org/conm/633/

http://dx.doi.org/10.1090/conm/633/12653

http://www.ams.org/conm/633/

http://dx.doi.org/10.1090/conm/633/12654

http://www.ams.org/conm/633/

http://dx.doi.org/10.1090/conm/633/12655

Access is restricted to licensed institutions

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.

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