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Matematicheskie Zametki, 1973, Volume 14, Issue 3, Pages 429–439 (Mi mzm7273)  

This article is cited in 7 scientific papers (total in 7 papers)

On the intersection of maximal subgroups in finite groups

V. V. Shlyk

Institute of Mathematics, Academy of Sciences Byelorussian SSR
Abstract: The intersections of maximal subgroups of a definite kind in finite groups are investigated. In particular, it is proved that the intersection of all noninvariant nonnilpotent maximal subgroups is nilpotent in a finite nonsolvable group.
Received: 30.10.1972
English version:
Mathematical Notes, 1973, Volume 14, Issue 3, Pages 804–809
DOI: https://doi.org/10.1007/BF01147460
Bibliographic databases:
UDC: 519.4
Language: Russian
Citation: V. V. Shlyk, “On the intersection of maximal subgroups in finite groups”, Mat. Zametki, 14:3 (1973), 429–439; Math. Notes, 14:3 (1973), 804–809
Citation in format AMSBIB
\Bibitem{Shl73}
\by V.~V.~Shlyk
\paper On the intersection of maximal subgroups in finite groups
\jour Mat. Zametki
\yr 1973
\vol 14
\issue 3
\pages 429--439
\mathnet{http://mi.mathnet.ru/mzm7273}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=325773}
\zmath{https://zbmath.org/?q=an:0295.20020}
\transl
\jour Math. Notes
\yr 1973
\vol 14
\issue 3
\pages 804--809
\crossref{https://doi.org/10.1007/BF01147460}
Linking options:
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  • https://www.mathnet.ru/eng/mzm/v14/i3/p429
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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