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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
Full-text PDF (1014 kB) Citations (7)
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:
  • https://www.mathnet.ru/eng/mzm7273
  • https://www.mathnet.ru/eng/mzm/v14/i3/p429
    • This publication is cited in the following 7 articles:
    1. R. V. Borodich, “O peresechenii funktornykh ne $\mathfrak{F}$-podgrupp v gruppakh s operatorami”, PFMT, 2022, no. 3(52), 72–75  mathnet  crossref
    2. R. V. Borodich, “O peresechenii ne $\mathfrak{F}$-podgrupp, vydelyaemykh podgruppovym funktorom, v gruppakh s operatorami”, PFMT, 2021, no. 4(49), 64–68  mathnet  crossref
    3. R. V. Borodich, E. N. Borodich, M. V. Selkin, “O stroenii subnormalnykh podgrupp v gruppakh s operatorami”, PFMT, 2016, no. 4(29), 41–44  mathnet
    4. M. V. Selkin, R. V. Borodich, “O maksimalnykh abnormalnykh podgruppakh konechnykh grupp”, Tr. IMM UrO RAN, 19, no. 3, 2013, 268–273  mathnet  mathscinet  elib
    5. Vasilev A.F., Syrokvashin A.V., “O peresecheniyakh maksimalnykh podalgebr razreshimykh konechnomernykhalgebr li”, Vestnik Bryanskogo gosudarstvennogo universiteta, 2011, no. 4, 49–54  elib
    6. M. V. Selkin, R. V. Borodich, “O peresechenii maksimalnykh podgrupp konechnykh grupp”, Vestn. SamGU. Estestvennonauchn. ser., 2009, no. 8(74), 67–77  mathnet
    7. L. A. Shemetkov, “Two directions in the development of the theory of non-simple finite groups”, Russian Math. Surveys, 30:2 (1975), 185–206  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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