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Algebra i logika, 2004, Volume 43, Number 3, Pages 341–352 (Mi al74)  
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
Full-text PDF (174 kB) Citations (10)
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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
English version:
Algebra and Logic, 2004, Volume 43, Issue 3, Pages 190–197
DOI: https://doi.org/10.1023/B:ALLO.0000028932.26405.a9
Bibliographic databases:
UDC: 512.5
Language: Russian
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
Citation in format AMSBIB
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\by V.~N.~Remeslennikov, N.~S.~Romanovskii
\paper Metabelian Products of Groups
\jour Algebra Logika
\yr 2004
\vol 43
\issue 3
\pages 341--352
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\zmath{https://zbmath.org/?q=an:1058.20028}
\elib{https://elibrary.ru/item.asp?id=9127550}
\transl
\jour Algebra and Logic
\yr 2004
\vol 43
\issue 3
\pages 190--197
\crossref{https://doi.org/10.1023/B:ALLO.0000028932.26405.a9}
\elib{https://elibrary.ru/item.asp?id=14165448}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846605291}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    References:62
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