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PFMT, 2018, Issue 1(34), Pages 55–60 (Mi pfmt553)  

This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

On the influence of $k$-primary Hall subgroups on the structure of finite soluble groups

T. I. Vasilyevaab, S. V. Balycheva

a F. Scorina Gomel State University
b Belarusian State University of Transport, Gomel

Abstract: Let $t$ be a natural number. In the class of finite soluble groups the properties of the class of all groups whose any $k$-primary Hall subgroups for $k\leqslant t$ belong to the saturated formation are found.

Keywords: soluble group, Hall subgroup, hereditary formation, saturated formation.

Full text: PDF file (359 kB)
References: PDF file   HTML file
UDC: 512.542
Received: 27.11.2017

Citation: T. I. Vasilyeva, S. V. Balychev, “On the influence of $k$-primary Hall subgroups on the structure of finite soluble groups”, PFMT, 2018, no. 1(34), 55–60

Citation in format AMSBIB
\Bibitem{VasBal18}
\by T.~I.~Vasilyeva, S.~V.~Balychev
\paper On the influence of $k$-primary Hall subgroups on the structure of finite soluble groups
\jour PFMT
\yr 2018
\issue 1(34)
\pages 55--60
\mathnet{http://mi.mathnet.ru/pfmt553}


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    This publication is cited in the following articles:
    1. A. F. Vasilev, “Konechnye gruppy s silno $\mathrm{K}$-$\mathfrak{F}$-subnormalnymi silovskimi podgruppami”, PFMT, 2018, no. 4(37), 66–71  mathnet
  • Проблемы физики, математики и техники
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