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Sbornik: Mathematics, 1996, Volume 187, Issue 9, Pages 1349–1354
DOI: https://doi.org/10.1070/SM1996v187n09ABEH000159 (Mi sm159) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Products of $\pi$-nilpotent subgroups

V. N. Tyutyanov
English version PDF (306 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/SM1996v187n09ABEH000159
Abstract: Let $A$ and $B$ be $\pi$-nilpotent subgroups of a finite group $G$ and suppose that $(|G:A|,p)=(|G:B|,p)=1$ for all $p\in \pi$. It is proved that if $G$ is a product of $A$ and $B$ then $G$ is a $\pi$-nilpotent group.
Received: 29.06.1995
Bibliographic databases:
UDC: 512.542
MSC: Primary 20D15, 20D20; Secondary 20D40
Language: English
Original paper language: Russian
Citation: V. N. Tyutyanov, “Products of $\pi$-nilpotent subgroups”, Sb. Math., 187:9 (1996), 1349–1354
Citation in format AMSBIB
\Bibitem{Tyu96}
\by V.~N.~Tyutyanov
\paper Products of $\pi$-nilpotent subgroups
\jour Sb. Math.
\yr 1996
\vol 187
\issue 9
\pages 1349--1354
\mathnet{http://mi.mathnet.ru/eng/sm159}
\crossref{https://doi.org/10.1070/SM1996v187n09ABEH000159}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1422384}
\zmath{https://zbmath.org/?q=an:0867.20020}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996WE55900005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0030300524}
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  • https://www.mathnet.ru/eng/sm/v187/i9/p97
    • This publication is cited in the following 2 articles:
    1. V. N. Semenchuk, V. F. Velesnitskii, “O konechnykh gruppakh, faktorizuemykh formatsionnymi podgruppami”, PFMT, 2011, no. 2(7), 69–74  mathnet
    2. V. N. Semenchuk, O. A. Mokeeva, “Factorizable Groups”, Math. Notes, 85:2 (2009), 251–259  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:475
    Russian version PDF:241
    English version PDF:34
    References:83
    First page:3
     
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