Abstract
This paper suggests a certain algorithm to model periodic groups based on calculation of independent words.
Similar content being viewed by others
References
Kuznetsov, A.A., Tarasov, S.A., and Tukhvatullina, L.R., Group Calculation Algorithm, in Matematicheskie sistemy (Mathematical Systems), Krasnoyarsk: Gos. Aerokosm. Univ., 2007, vol. 6, pp. 63–73.
Kuznetsov, A.A., On the Finiteness Issue of Free Burnside Group B(2, 5), in Matematicheskie sistemy (Mathematical Systems), Krasnoyarsk: Gos. Aerokosm. Univ., 2005, vol. 5, pp. 38–47.
Kostrikin, A.I., Vokrug Bernsaida (Around Burnside), Moscow: Nauka, 1983.
Kourovskaya tetrad’: nereshennye voprosy teorii grupp (Kourov Notebook: Unsolved Problems in the Group Theory), Novosibirsk: Inst. Mat., 2006.
Kuznetsov, A.A. and Shlepkin, A.K., Using Parallel Computations to Find Elements in Free Burnside Groups B(m, n), Tr. IV mezhregion. shkoly-seminara “Raspredelennye i klasternye vychisleniya” (Proc. IV Inter-regional Learning Seminar “Distributed and Cluster Computing”), Krasnoyarsk: Inst. Vychisl. Mat., Ross. Akad. Nauk, 2005, pp. 36–40.
Lytkina, D.V. and Kuznetsov, A.A., Recognizability by Spectrum of the Group L 2(7) in the Class of All Groups, Sib. Electr. Math. Reports, 2007, vol. 6, pp. 136–140.
Author information
Authors and Affiliations
Additional information
Original Russian Text © A.A. Kuznetsov, A.N. Antamoshkin, A.K. Shlepkin, 2008, published in Sistemy Upravleniya i Informatsionnye Tekhnologii, 2008, No. 2, pp. 286–289.
Rights and permissions
About this article
Cite this article
Kuznetsov, A.A., Antamoshkin, A.N. & Shlepkin, A.K. Modeling of periodic groups involving independent words. Autom Remote Control 73, 392–396 (2012). https://doi.org/10.1134/S0005117912020178
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0005117912020178