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Zapiski Nauchnykh Seminarov LOMI, 1982, Volume 114, Pages 164–173 (Mi znsl1775)  

This article is cited in 1 scientific paper (total in 1 paper)

Dialog system of symbolic calculations in burnside groups

E. I. Monarkh, A. I. Skopin
Full-text PDF (881 kB) Citations (1)
Abstract: A programming system designed for use in group theory is described. The $ALCOS/G-B$ dialog system automates the very tedious analytic calculations that arise in the study of various Burnside groups. A problem that requires development of a dialog system and the procedures underlying ALCOS/G-B are described. The means given to the user of the system are indicated. The use of $ALCOS/G-B$ to calculate the nilpotency class of one of the Burnside groups with two generators of exponent 8 whose commutator has nilpotency class 3 is described as an example. It is found that the nilpotency class of this group does not exceed 24.
English version:
Journal of Soviet Mathematics, 1984, Volume 27, Issue 4, Pages 2955–2962
DOI: https://doi.org/10.1007/BF01410749
Bibliographic databases:
UDC: 519.45, 681.3.06
Language: Russian
Citation: E. I. Monarkh, A. I. Skopin, “Dialog system of symbolic calculations in burnside groups”, Modules and algebraic groups, Zap. Nauchn. Sem. LOMI, 114, "Nauka", Leningrad. Otdel., Leningrad, 1982, 164–173; J. Soviet Math., 27:4 (1984), 2955–2962
Citation in format AMSBIB
\Bibitem{MonSko82}
\by E.~I.~Monarkh, A.~I.~Skopin
\paper Dialog system of symbolic calculations in burnside groups
\inbook Modules and algebraic groups
\serial Zap. Nauchn. Sem. LOMI
\yr 1982
\vol 114
\pages 164--173
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1775}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=669568}
\zmath{https://zbmath.org/?q=an:0548.20025|0499.20025}
\transl
\jour J. Soviet Math.
\yr 1984
\vol 27
\issue 4
\pages 2955--2962
\crossref{https://doi.org/10.1007/BF01410749}
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  • https://www.mathnet.ru/eng/znsl1775
  • https://www.mathnet.ru/eng/znsl/v114/p164
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
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