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Matematicheskie Zametki, 1968, Volume 3, Issue 1, Pages 45–50 (Mi mzm6650)  

This article is cited in 1 scientific paper (total in 1 paper)

The normalizer condition

S. N. Chernikov

Mathematics Institute, Academy of Sciences of the Ukrainian SSR
Full-text PDF (556 kB) Citations (1)
Abstract: It is proved that a torsion-free group $\mathfrak G$, in which every infinite proper subgroup is distinct from its normalizer satisfies the normalizer condition, i.e., every proper subgroup is distinct from its normalizer.
Received: 12.09.1967
English version:
Mathematical Notes, 1968, Volume 3, Issue 1, Pages 28–30
DOI: https://doi.org/10.1007/BF01386961
Bibliographic databases:
UDC: 512.4
Language: Russian
Citation: S. N. Chernikov, “The normalizer condition”, Mat. Zametki, 3:1 (1968), 45–50; Math. Notes, 3:1 (1968), 28–30
Citation in format AMSBIB
\Bibitem{Che68}
\by S.~N.~Chernikov
\paper The normalizer condition
\jour Mat. Zametki
\yr 1968
\vol 3
\issue 1
\pages 45--50
\mathnet{http://mi.mathnet.ru/mzm6650}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=224688}
\zmath{https://zbmath.org/?q=an:0186.32004}
\transl
\jour Math. Notes
\yr 1968
\vol 3
\issue 1
\pages 28--30
\crossref{https://doi.org/10.1007/BF01386961}
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  • https://www.mathnet.ru/eng/mzm6650
  • https://www.mathnet.ru/eng/mzm/v3/i1/p45
  • This publication is cited in the following 1 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:197
    Full-text PDF :84
    First page:1
     
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