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Zapiski Nauchnykh Seminarov LOMI, 1982, Volume 114, Pages 164–173
(Mi znsl1775)
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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
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.
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
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https://www.mathnet.ru/eng/znsl1775 https://www.mathnet.ru/eng/znsl/v114/p164
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Abstract page: | 186 | Full-text PDF : | 58 |
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