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Matematicheskie Zametki, 1974, Volume 16, Issue 2, Pages 285–295 (Mi mzm7461)  
This article is cited in 13 scientific papers (total in 13 papers)

The product of two groups, one of which contains a cyclic subgroup of index $\le2$

V. S. Monakhov

Institute of Mathematics, Academy of Sciences Byelorussian SSR
Full-text PDF (960 kB) Citations (13) English version article
Abstract: We prove that a finite group $G=A\cdot B$ is solvable if the groups $A$ and $B$ contain cyclic subgroups with indices $\le2$. We provide a description of two classes of nonsolvable factorizable groups.
Received: 10.09.1973
English version:
Mathematical Notes, 1974, Volume 16, Issue 2, Pages 757–762
DOI: https://doi.org/10.1007/BF01105584
Bibliographic databases:
UDC: 519.4
Language: Russian
Citation: V. S. Monakhov, “The product of two groups, one of which contains a cyclic subgroup of index $\le2$”, Mat. Zametki, 16:2 (1974), 285–295; Math. Notes, 16:2 (1974), 757–762
Citation in format AMSBIB
\Bibitem{Mon74}
\by V.~S.~Monakhov
\paper The product of two groups, one of which contains a~cyclic subgroup of index $\le2$
\jour Mat. Zametki
\yr 1974
\vol 16
\issue 2
\pages 285--295
\mathnet{http://mi.mathnet.ru/mzm7461}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=393230}
\zmath{https://zbmath.org/?q=an:0334.20012}
\transl
\jour Math. Notes
\yr 1974
\vol 16
\issue 2
\pages 757--762
\crossref{https://doi.org/10.1007/BF01105584}
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  • https://www.mathnet.ru/eng/mzm/v16/i2/p285
    • This publication is cited in the following 13 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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    Abstract page:423
    Full-text PDF :153
    References:4
    First page:1
     
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