Journal of Soviet Mathematics

, Volume 52, Issue 3, pp 3185–3193 | Cite as

Investigation on the Besm-6 computer of the structure of the nilpotent series for the metabelian 2-generated group of exponent 27

  • A. I. Skopin


A special symbolic form for the notation of the elements of a 2-generated metabelian group is realized on a computer, with the aid of which for the exponent 27 one carries out the search of the relations in the factors of the lower central series. The first 36 factors are investigated.


Symbolic Form Central Series Metabelian Group Lower Central Series 
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Literature cited

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    A. I. Skopin, Computer investigation of the nilpotent series of the metabelian group of exponent 27. Preprint LOMI, R-12-86, Leningrad (1986).Google Scholar
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    A. I. Skopin, “Factors of the nilpotent series of some metabelian groups of prime-power exponent”, Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,132, 129–163 (1983).MATHMathSciNetGoogle Scholar
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    M. Hall, Jr., The Theory of Groups, Macmillan, New York (1959).Google Scholar
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    S. Bachmuth, H. A. Heilbronn, and H. Y. Mochizuki, “Burnside metabelian groups”, Proc. R. Soc., Ser. A,307, 235–250 (1968).Google Scholar

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • A. I. Skopin

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