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Matematicheskie Zametki, 1969, Volume 6, Issue 1, Pages 11–18 (Mi mzm6892)  
This article is cited in 3 scientific papers (total in 3 papers)

Infinite nonabelian groups with minimal condition for non-normal subgroups

S. N. Chernikov

Mathematics Institute, Academy of Sciences of the Ukrainian SSR
Full-text PDF (717 kB) Citations (3)
Abstract: Infinite nonabelian groups which do not possess a descending chain of non-normal subgroups are examined. It is established that under certain additional conditions, in particular the condition of the existence of a normal system with finite factors, the class of all such groups consists only of infinite extremal nonabelian groups and infinite hamiltonian groups, see [6].
Received: 21.10.1968
English version:
Mathematical Notes, 1969, Volume 6, Issue 1, Pages 465–468
DOI: https://doi.org/10.1007/BF01450247
Bibliographic databases:
UDC: 512.4
Language: Russian
Citation: S. N. Chernikov, “Infinite nonabelian groups with minimal condition for non-normal subgroups”, Mat. Zametki, 6:1 (1969), 11–18; Math. Notes, 6:1 (1969), 465–468
Citation in format AMSBIB
\Bibitem{Che69}
\by S.~N.~Chernikov
\paper Infinite nonabelian groups with minimal condition for non-normal subgroups
\jour Mat. Zametki
\yr 1969
\vol 6
\issue 1
\pages 11--18
\mathnet{http://mi.mathnet.ru/mzm6892}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=258938}
\zmath{https://zbmath.org/?q=an:0196.04501}
\transl
\jour Math. Notes
\yr 1969
\vol 6
\issue 1
\pages 465--468
\crossref{https://doi.org/10.1007/BF01450247}
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    • This publication is cited in the following 3 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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