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Matematicheskie Zametki, 1973, Volume 13, Issue 3, Pages 443–446 (Mi mzm7142)  

This article is cited in 4 scientific papers (total in 4 papers)

On the product of finitely generated Abelian groups

N. F. Sesekin

Ural State University
Full-text PDF (358 kB) Citations (4)
Abstract: It is shown that if a group $G$ is a product of Abelian subgroups $A$ and $B$ one of which is finitely generated, then the group $G$ will have a nontrivial normal subgroup that is contained either in $A$, or in $B$.
Received: 23.03.1972
English version:
Mathematical Notes, 1973, Volume 13, Issue 3, Pages 266–268
DOI: https://doi.org/10.1007/BF01155670
Bibliographic databases:
UDC: 519.4
Language: Russian
Citation: N. F. Sesekin, “On the product of finitely generated Abelian groups”, Mat. Zametki, 13:3 (1973), 443–446; Math. Notes, 13:3 (1973), 266–268
Citation in format AMSBIB
\Bibitem{Ses73}
\by N.~F.~Sesekin
\paper On the product of finitely generated Abelian groups
\jour Mat. Zametki
\yr 1973
\vol 13
\issue 3
\pages 443--446
\mathnet{http://mi.mathnet.ru/mzm7142}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=335647}
\zmath{https://zbmath.org/?q=an:0275.20063}
\transl
\jour Math. Notes
\yr 1973
\vol 13
\issue 3
\pages 266--268
\crossref{https://doi.org/10.1007/BF01155670}
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  • https://www.mathnet.ru/eng/mzm7142
  • https://www.mathnet.ru/eng/mzm/v13/i3/p443
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Full-text PDF :84
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