Geodesic
Public key distribution schemes based on a noncommutative group
Diskretnaya Matematika, Tome 15 (2003) no. 2, pp. 47-51
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We give examples where we realise the idea to use a non-commutative operation in the schemes of public distribution of keys suggested by V. M. Sidelnikov. 
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M. A. Cherepnev. Public key distribution schemes based on a noncommutative group. Diskretnaya Matematika, Tome 15 (2003) no. 2, pp. 47-51. http://geodesic.mathdoc.fr/item/DM_2003_15_2_a2/

[1] Sidelnikov V. M., Cherepnev M. A., Yaschenko V. V., “Sistemy otkrytogo raspredeleniya klyuchei na osnove nekommutativnykh polugrupp”, Dokl. AN SSSR, 332:5 (1993), 566–567

[2] Artin E., Tate J., Class field theory, Harvard Univ. Press, Harvard, 1961

[3] Adleman L. M., Pomerance C., Rumely R. S., “On distinguishing prime numbers from composite numbers”, Ann. Math., 117 (1983), 173–206 | DOI | MR | Zbl