FINDING N-TH ROOTS IN NILPOTENT GROUPS AND ...

More documents

Recommendations

Info

592 S. Sze, D. Kahrobaei, R. Dambreville, M. Dupas References [1] Kashi Abhyankar, Daniel Grossman, Square roots of finite groups, Technical Report, Rose-Hulman Institute of Technology Mathematics Department (1994); Also available as http://www.rosehulman.edu/math/MSTR/MSTRpubs/1994/RHIT-MSTR-1994-03.pdf. [2] Gilbert Baumslag, Some aspects of groups with unique roots, Acta Mathematica, 104, No-s: 3-4 (1960), 217-203. [3] Gilbert Baumslag, Some remarks on nilpotent groups with roots, Proceedings of the American Mathematical Society, 12, No. 2 (1962), 262-267. [4] Renald Dambreville, Makenson Dupas, Interdisciplinary Project in Computational Group Theory and Cryptography, Advisor: Delaram Kahrobaei (2009). [5] Yan Zong Ding, Michael O. Rabin, Hyper-encryption and everlasting security, In: Lecture Notes in Computer Science, Proceedings of the 19-th Annual Symposium on Theoretical Aspects of Computer Science table of contents, Springer-Verlag London, UK, 2285 (2002), 1-26. [6] Philip Hall, Nilpotent Groups, In: Canadian Mathematical Congress, Summer Seminar, University of Alberta, 12-30 August, 1957. [7] D. Kahrobaei, V. Shpilrain, Using engel groups in cryptography, Preprint (2011). [8] Henry C. King, Square roots and n-th roots of linear operators, http://www-users.math.umd.edu/ hck/squareroots.pdf. [9] A.G. Kurosh, The Theory of Groups, Volume 1, Chealsea Publishing Company, 2-nd Edition (1960). [10] A.G. Kurosh, The Theory of Groups, Volume 2, Chealsea Publishing Company, 2-nd Edition (1960). [11] Alfred Menezes, Paul van Oorschot, Scott Vanstone, Handbook of Applied Cryptography, CRC Press (1996). [12] Werner Nickel, Computation of nilpotent engel groups, J. Austral. Math. Soc. (Series A), 67 (1999), 214-222.
FINDING N-TH ROOTS IN NILPOTENT GROUPS... 593 [13] Werner Nickel, Matrix representations for torsion-free nilpotent groups by deep thought, J. Algebra, 300, No. 1 (2006), 376-383. [14] Kenneth H. Rosen, Elementary Number Theory and Its Applications, Addison Wesley, 5-th Edition (2005). [15] Wade Trappe, Lawrence C. Washington, Introduction to Cryptography: With Coding Theory, Pearson Prentice Hall (2006). [16] G. Traustason, Semigroup identities in 4-engel groups, J. of Group Theory, 2 (1999), 39-46. [17] G. Traustason, n-engel groups, a survey, Groups St Andrews (2009), 1-19. [18] Gunnar Traustason, Two generator 4-engel groups, Internat. J. Algebra Comput., 15 (2005), 309-316.
Page 1 and 2: International Journal of Pure and A
Page 3 and 4: FINDING N-TH ROOTS IN NILPOTENT GRO
Page 21: FINDING N-TH ROOTS IN NILPOTENT GRO

FINDING N-TH ROOTS IN NILPOTENT GROUPS AND ...

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?