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This article is cited in 10 scientific papers (total in 10 papers)
Metabelian Products of Groups
V. N. Remeslennikov, N. S. Romanovskiia a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
We prove a number of facts on metabelian products of metabelian groups, useful in algebraic geometry over groups. Namely, for a metabelian product of arbitrary metabelian groups, we look at the structure of a derived subgroup, and the Fitting radical; find criteria determining when a metabelian product of $u$-groups is again a $u$-group; and specify conditions under which a metabelian product of metabelian groups is a strong semidomain.
Keywords:
metabelian group, metabelian product, $u$-group, derived subgroup, Fitting radical, strong semidomain.
Received: 03.03.2003
Citation:
V. N. Remeslennikov, N. S. Romanovskii, “Metabelian Products of Groups”, Algebra Logika, 43:3 (2004), 341–352; Algebra and Logic, 43:3 (2004), 190–197
Linking options:
https://www.mathnet.ru/eng/al74 https://www.mathnet.ru/eng/al/v43/i3/p341
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Abstract page: | 439 | Full-text PDF : | 114 | References: | 62 | First page: | 1 |
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