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This article is cited in 5 scientific papers (total in 5 papers)
The variety of metabelian $\mathscr D$-groups
Yu. V. Kuz'min
Abstract:
It is proved that an arbitrary metabelian $R$-group is imbeddable in a metabelian $\mathscr D$-group. Varieties consisting of metabelian $\mathscr D$-groups are described and a number of theorems on the structure of a free metabelian $\mathscr D$-group are obtained. A certain specially defined ring – an analog of the group ring – plays an essential role in the proofs.
Received: 17.08.1971
Citation:
Yu. V. Kuz'min, “The variety of metabelian $\mathscr D$-groups”, Izv. Akad. Nauk SSSR Ser. Mat., 36:4 (1972), 765–788; Math. USSR-Izv., 6:4 (1972), 759–781
Linking options:
https://www.mathnet.ru/eng/im2333https://doi.org/10.1070/IM1972v006n04ABEH001899 https://www.mathnet.ru/eng/im/v36/i4/p765
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Abstract page: | 250 | Russian version PDF: | 73 | English version PDF: | 6 | References: | 38 | First page: | 1 |
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