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Computational and combinatorial group theory and cryptography : [electronic resource] AMS Special Sessions: Computational Algebra, Groups, and Applications, April 30-May 1, 2011, University of Nevada, Las Vegas, NV, Mathematical Aspects of Cryptography and Cyber Security, September 10-11, 2011, Cornell University, Ithaca, NY / Benjamin Fine, Delaram Kahrobaei, Gerhard Rosenberger, editors.

Contributor(s): Fine, Benjamin, 1948- [editor of compilation.] | Kahrobaei, Delaram, 1975- [editor of compilation.] | Rosenberger, Gerhard [editor of compilation.] | AMS Special Session on Computational Algebra, Groups, and Applications (2011 : University of Nevada) | AMS Special Session on Mathematical Aspects of Cryptography and Cyber Security (2011 : Cornell University).

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BookSeries: Contemporary mathematics, v. 582.Publisher: Providence, Rhode Island : American Mathematical Society, [2012]Description: 1 online resource (vii, 199 pages : illustrations).Content type: text Media type: unmediated Carrier type: volumeISBN: 9780821894040 (online).Subject(s): Group theory -- Congresses | Cryptography -- Congresses | Group theory and generalizations | Computer scienceAdditional physical formats: Computational and combinatorial group theory and cryptography :DDC classification: 512/.2 Other classification: 20-XX | 68-XX Online resources: Contents | Contents

Contents:

Weyl Gr�obner Basis Cryptosystems / Rashid Ali and Martin Kreuzer -- http://www.ams.org/conm/582/ http://dx.doi.org/10.1090/conm/582/11554 A New Look at Finitely Generated Metabelian Groups / Gilbert Baumslag, Roman Mikhailov and Kent E. Orr -- http://www.ams.org/conm/582/ http://dx.doi.org/10.1090/conm/582/11551 $IA$-Automorphisms of Groups with Almost Constant Upper Central Series / Marianna Bonanome, Margaret H. Dean and Marcos Zyman -- http://www.ams.org/conm/582/ http://dx.doi.org/10.1090/conm/582/11564 A Proposed Alternative to the Shamir Secret Sharing Scheme / Chi Sing Chum, Benjamin Fine, Gerhard Rosenberger and Xiaowen Zhang -- http://www.ams.org/conm/582/ http://dx.doi.org/10.1090/conm/582/11559 Improving Latin Square Based Secret Sharing Schemes / Chi Sing Chum and Xiaowen Zhang -- http://www.ams.org/conm/582/ http://dx.doi.org/10.1090/conm/582/11562 A Hand-Computation Involving Surface Groups, the Reidemeister-Schreier Rewriting Process and Kurosh Subgroup Theorem / Anthony E. Clement -- http://www.ams.org/conm/582/ http://dx.doi.org/10.1090/conm/582/11565 Adjunction of Roots in Exponential A-Groups / Margaret H. Dean, Stephen Majewicz and Marcos Zyman -- http://www.ams.org/conm/582/ http://dx.doi.org/10.1090/conm/582/11563 Logspace Computations in Coxeter Groups and Graph Groups / Volker Diekert, Jonathan Kausch and Markus Lohrey -- http://www.ams.org/conm/582/ http://dx.doi.org/10.1090/conm/582/11553 Collection by Polynomials in Finite $p$-groups / Bettina Eick -- http://www.ams.org/conm/582/ http://dx.doi.org/10.1090/conm/582/11552 All Finite Generalized Tetrahedon Groups II / Benjamin Fine, Alexander Hulpke and Gerhard Rosenberger -- http://www.ams.org/conm/582/ http://dx.doi.org/10.1090/conm/582/11560 The Classification of One Relator Limit Groups and the Surface Group Conjecture / Benjamin Fine and Gerhard Rosenberger -- http://www.ams.org/conm/582/ http://dx.doi.org/10.1090/conm/582/11558 Discrimination and Separation in the Metabelian Variety / Anthony M. Gaglione, Seymour Lipschutz and Dennis Spellman -- http://www.ams.org/conm/582/ http://dx.doi.org/10.1090/conm/582/11555 A Secret Sharing Scheme Based on Group Presentations and the Word Problem / Maggie Habeeb, Delaram Kahrobaei and Vladimir Shpilrain -- http://www.ams.org/conm/582/ http://dx.doi.org/10.1090/conm/582/11557 Authenticated Key Agreement with Key Re-Use in the Short Authenticated Strings Model / Stanislaw Jarecki and Nitesh Saxena -- http://www.ams.org/conm/582/ http://dx.doi.org/10.1090/conm/582/11556 Publicly Verifiable Secret Sharing Using Non-Abelian Groups / Delaram Kahrobaei and Elizabeth Vidaurre -- http://www.ams.org/conm/582/ http://dx.doi.org/10.1090/conm/582/11561 A Note on the Hyperbolicity of Strict Pride Groups / Matthias Neumann-Brosig -- http://www.ams.org/conm/582/ http://dx.doi.org/10.1090/conm/582/11566 An Algorithm to Express Words as a Product of Conjugates of Relators / Ellen Ziliak -- http://www.ams.org/conm/582/ http://dx.doi.org/10.1090/conm/582/11567

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Weyl Gr�obner Basis Cryptosystems / Rashid Ali and Martin Kreuzer -- A New Look at Finitely Generated Metabelian Groups / Gilbert Baumslag, Roman Mikhailov and Kent E. Orr -- $IA$-Automorphisms of Groups with Almost Constant Upper Central Series / Marianna Bonanome, Margaret H. Dean and Marcos Zyman -- A Proposed Alternative to the Shamir Secret Sharing Scheme / Chi Sing Chum, Benjamin Fine, Gerhard Rosenberger and Xiaowen Zhang -- Improving Latin Square Based Secret Sharing Schemes / Chi Sing Chum and Xiaowen Zhang -- A Hand-Computation Involving Surface Groups, the Reidemeister-Schreier Rewriting Process and Kurosh Subgroup Theorem / Anthony E. Clement -- Adjunction of Roots in Exponential A-Groups / Margaret H. Dean, Stephen Majewicz and Marcos Zyman -- Logspace Computations in Coxeter Groups and Graph Groups / Volker Diekert, Jonathan Kausch and Markus Lohrey -- Collection by Polynomials in Finite $p$-groups / Bettina Eick -- All Finite Generalized Tetrahedon Groups II / Benjamin Fine, Alexander Hulpke and Gerhard Rosenberger -- The Classification of One Relator Limit Groups and the Surface Group Conjecture / Benjamin Fine and Gerhard Rosenberger -- Discrimination and Separation in the Metabelian Variety / Anthony M. Gaglione, Seymour Lipschutz and Dennis Spellman -- A Secret Sharing Scheme Based on Group Presentations and the Word Problem / Maggie Habeeb, Delaram Kahrobaei and Vladimir Shpilrain -- Authenticated Key Agreement with Key Re-Use in the Short Authenticated Strings Model / Stanislaw Jarecki and Nitesh Saxena -- Publicly Verifiable Secret Sharing Using Non-Abelian Groups / Delaram Kahrobaei and Elizabeth Vidaurre -- A Note on the Hyperbolicity of Strict Pride Groups / Matthias Neumann-Brosig -- An Algorithm to Express Words as a Product of Conjugates of Relators / Ellen Ziliak --

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