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Matematicheskie Zametki, 1976, Volume 19, Issue 5, Pages 717–726 (Mi mzm7792)  
This article is cited in 2 scientific papers (total in 2 papers)

2-Divisible groups over $Z$

V. A. Abrashkin

M. V. Lomonosov Moscow State University
Full-text PDF (775 kB) Citations (2)
Abstract: In this paper we construct nontrivial 2-divisible groups over $Z$ which are isogenous to trivial groups and prove the following:
\underline{THEOREM.} If the height h of a 2-divisible group $\{G^{(\nu)}\}$ over $Z$ is at most 4, then $\{G^{(\nu)}\}$ is isogenous to a trivial group.
Received: 04.03.1975
English version:
Mathematical Notes, 1976, Volume 19, Issue 5, Pages 429–433
DOI: https://doi.org/10.1007/BF01142565
Bibliographic databases:
Document Type: Article
UDC: 519.4
Language: Russian
Citation: V. A. Abrashkin, “2-Divisible groups over $Z$”, Mat. Zametki, 19:5 (1976), 717–726; Math. Notes, 19:5 (1976), 429–433
Citation in format AMSBIB
\Bibitem{Abr76}
\by V.~A.~Abrashkin
\paper 2-Divisible groups over~$Z$
\jour Mat. Zametki
\yr 1976
\vol 19
\issue 5
\pages 717--726
\mathnet{http://mi.mathnet.ru/mzm7792}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=435086}
\zmath{https://zbmath.org/?q=an:0339.14031|0334.14024}
\transl
\jour Math. Notes
\yr 1976
\vol 19
\issue 5
\pages 429--433
\crossref{https://doi.org/10.1007/BF01142565}
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    • This publication is cited in the following 2 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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