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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 3, Pages 256–267 (Mi timm1217)  
This article is cited in 13 scientific papers (total in 13 papers)

On the $p$-supersolvability of a finite factorizable group with normal factors

V. S. Monakhova, I. K. Chirikb

a Francisk Skaryna Gomel State University, Faculty of Mathematics
b Gomel Engineering Institute, Ministry of Extraordinary Situations of the Republic of Belarus
Full-text PDF (202 kB) Citations (13)
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Abstract: We obtain "$p$-analogs" of known criteria for the supersolvability of a finite group $G=AB$ with normal supersolvable subgroups $A$ and $B$. In addition, new sufficient conditions for the supersolvability of a finite group are found under stronger conditions than the supersolvability of normal factors.
Keywords: finite group, $p$-supersolvable group, $p$-solvable group, mnp-group, t-group.
Received: 29.12.2014
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: V. S. Monakhov, I. K. Chirik, “On the $p$-supersolvability of a finite factorizable group with normal factors”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 3, 2015, 256–267
Citation in format AMSBIB
\Bibitem{MonChi15}
\by V.~S.~Monakhov, I.~K.~Chirik
\paper On the $p$-supersolvability of a finite factorizable group with normal factors
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2015
\vol 21
\issue 3
\pages 256--267
\mathnet{http://mi.mathnet.ru/timm1217}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3468108}
\elib{https://elibrary.ru/item.asp?id=24156728}
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  • https://www.mathnet.ru/eng/timm/v21/i3/p256
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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