publications

Publications

Professor Michael Anshel's Referee'd Research Publications, 1968-present

(1) Planarity in algebraic systems

Bull. Am. Math. Soc. 74, 746-748 (1968)

(with J.R.Clay)

(2) Planar algebraic systems: Some geometric interpretations

J. Algebra 10, 166-173 (1968)

(with J.R.Clay)

(3) The endomorphisms of certain one-relator groups and

the generalized Hopfian property

Bull. Am. Math. Soc. 77, 348-350 (1971)

(4) On free products of finite Abelian groups.

Proc. Am. Math. Soc. 34, 343-345 (1972).

(with R.Prener)

(5) Non-Hopfian groups with fully invariant kernels. I.

Trans. Am. Math. Soc. 170, 231-237 (1972).

(6) Non-Hopfian groups with fully invariant kernels. II.

J. Algebra 24, 473-485 (1973).

(7) The solvability of the conjugacy problem for certain HNN groups.

Bull. Am. Math. Soc. 80, 266-270 (1974)

(with P.Stebe)

(8) Decision problems for HNN groups and vector addition systems.

Math. Comput. 30, 154-156 (1976).

(9) Conjugate powers in HNN groups.

Proc. Am. Math. Soc. 54, 19-23 (1976).

(10) The conjugacy problem for HNN groups and

the word problem for commutative semigroups

Proc. Am. Math. Soc. 61, 223-224 (1976).

(11) Conjugate powers in free products with amalgamation.

Houston J. Math. 2, 139-147 (1976).

(with P.Stebe)

(12) Vector groups and the equality problem for vector addition systems.

Math. Comput. 32, 614-616 (1978).

(13) Decision problems for HNN groups and commutative semigroups.

Houston J. Math. 4, 137-142 (1978).

(14) Reducibilities among decision problems for HNN groups,

vector addition systems and subsystems of Peano arithmetic.

Proc. Am. Math. Soc. 89, 425-429 (1983)

(with K.McAloon)

(15) The complexity of Dehn's algorithm for word problems in groups.

J. Algorithms 6, 543-549 (1985)

(with B.Domanski)

(16) Applications of the Hardy-Ramanujan partition theory to linear

diophantine problems.

J. Ramanujan Math. Soc. (Ramanujan Birth Centenary Special Issue)

3, No.1, 97-110 (1988).

(with D.Goldfeld)

(17) Partitions, Egyptian fractions, and free products of finite abelian

groups.

Proc. Am. Math. Soc. 111, No.4, 889-899 (1991).

(with D.Goldfeld)

(18) From the Post-Markov theorem through decision problems to

public-key cryptography.

Am. Math. Mon. 100, No.9, 835-844 (1993).

(with I.Anshel)

(19) Zeta functions, one-way functions, and pseudorandom number generators.

Duke Math. J. 88, No.2, 371-390 (1997).

(with D.Goldfeld)

(20) An algebraic method for public-key cryptography.

Math. Res. Lett. 6, No.3-4, 287-291 (1999).

(with I.Anshel,D.Goldfeld)

(21) New Key Agreement Protocols in Braid Group Cryptography.

in D.Naccache (ed), Topics in Cryptology- CT-RSA 2001,

LNCS 2020 Springer-Verlag (2001) pp. 13-27

(with I.Anshel,B.Fisher,D.Goldfeld)

(22) A Fast Lattice-based Polynomial Digital Signature System for

M-commerce, Proceedings of SPIE, v.4793, (2003) pp. 52-56

(with Xinzhou Wei, Lin Leung)

(23) Non-Abelian Key Agreement Protocols

Discrete Applied Mathematics, 130 No.1, 3-12 (2003)

(with I. Anshel, and D. Goldfeld)

(24) A Group Theoretic Approach to Public-Key Cryptography

in DIMACS Series in Mathematics and Theoretical Computer Science

Volume 64, pp. 17-23. American Mathematical Society (2004)

(with I.Anshel, B.Fisher, D.Goldfeld)

(25) Design of an efficient load balancing algorithm on distributed

networks by Employing symmetric balanced incomplete block design

IEE Proc-Commmunications, v.151, n.6 (December 2004), pp. 535-538

(with D.Lee, I.Chung)

(26) A Linear Time Matrix Key Agreement Protocol Over Small Finite Fields

Applicable Algebra in Engineering, Communication and Computing,

Springer Verlag Press, (2006)

(with I.Anshel, D.Goldfeld)

(27) Toward Secure Low Rate Wireless Personal Area Networks

IEEE Transactions on Mobile Computing

v.5, n.10, (October 2006), pp. 1361-1373

(with J. Zheng, M.J. Lee)

(28) Key Agreement, the Algebraic Eraser, and Lightweight

Cryptography

in Algebraic Methods in Cryptography, CONM Vol 41 (2006), AMS, pp. 1-38

(with I. Anshel, D. Goldfeld, S. Lemieux)

(29) The Search for Origins of the Commutator Calculus

in Combinatorial Group Theory, Discrete Groups, and Number Theory,

edited by Benjamin Fine, et al., AMS, (2007), pp. 23-27.

(with Anthony M. Gaglione)

(30) Experiments in Matching Intronized Fingerprints Minutiae Templates

in International Journal of Computer Science and Network Security, v.8, n.9, September 2008

(with Qinghai Gao, Xiaowen Zhang)

(31) Introduction to Geometric Intronization as a Security Technique

in International Journal of Computer Science and Network Security.

Vol.8, No.12, pp.19-25, December 30, 2008

(with Qinghai Gao, Xiaowen Zhang)

(32) Actions, Commutator Identities, and the Algebraic Eraser

in Aspects of Infinite Groups, Algebra and Discrete Mathematics, World Scientific (B. Fine, G.

Rosenberger and D. Spellman, eds.), Vol 1: 1-8 (2008) pages 1-8

(with Iris Anshel, Dorian Goldfeld)

(33) Biological One-way Functions

American Society for Engineering Education (ASEE),

Mid-Atlantic Section Conference, October 23-24, 2009, King of Prussia, PA

(with Qinghai Gao, Xiaowen Zhang)

(34) Applications of Group Theory in Cryptography

International Journal of Pure and Applied Mathematics (IJPAM),

Volume 58, No. 1 (2010)

(with Delaram Kahrobaei)