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Algebra i logika, 2002, Volume 41, Number 4, Pages 411–428 (Mi al190)  
This article is cited in 10 scientific papers (total in 10 papers)

The Kegel – Shemetkov Problem on Lattices of Generalized Subnormal Subgroups of Finite Groups

A. F. Vasil'ev, S. F. Kamornikov
Full-text PDF (1674 kB) Citations (10)
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Abstract: We study into formations $\mathfrak F$ for which the set of all $\mathfrak F$-subnormal ($\mathfrak F$-accessible) subgroups form a sublattice of the lattice of all subgroups in every finite group. A constructive description of all soluble hereditary formations of finite groups with given properties is furnished.
Keywords: finite group, formation.
Received: 30.11.2000
Revised: 28.02.2001
English version:
Algebra and Logic, 2002, Volume 41, Issue 4, Pages 228–236
DOI: https://doi.org/10.1023/A:1020104604456
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: A. F. Vasil'ev, S. F. Kamornikov, “The Kegel – Shemetkov Problem on Lattices of Generalized Subnormal Subgroups of Finite Groups”, Algebra Logika, 41:4 (2002), 411–428; Algebra and Logic, 41:4 (2002), 228–236
Citation in format AMSBIB
\Bibitem{VasKam02}
\by A.~F.~Vasil'ev, S.~F.~Kamornikov
\paper The Kegel~-- Shemetkov Problem on Lattices of Generalized Subnormal Subgroups of Finite Groups
\jour Algebra Logika
\yr 2002
\vol 41
\issue 4
\pages 411--428
\mathnet{http://mi.mathnet.ru/al190}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1950574}
\zmath{https://zbmath.org/?q=an:1016.20012}
\transl
\jour Algebra and Logic
\yr 2002
\vol 41
\issue 4
\pages 228--236
\crossref{https://doi.org/10.1023/A:1020104604456}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-42249112847}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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