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PFMT, 2018, Issue 2(35), Pages 46–50 (Mi pfmt566)  

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

MATHEMATICS

On core of $p$-prefrattini subgroup of a finite soluble group

S. F. Kamornikov

F. Scorina Gomel State University

Abstract: Let $p$ be a prime, and $H$ is a $p$-prefrattini subgroup of a finite soluble group $G$. In the paper it is proved that there exist elements $x, y, z\in G$ such that the equality $H\cap H^x\cap H^y\cap H^z=\Phi_p(G)$ holds.

Keywords: finite soluble group, p-prefrattini subgroup, core of subgroup, generalized Frattini subgroup.

Full text: PDF file (342 kB)
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UDC: 512.542
Received: 20.04.2018

Citation: S. F. Kamornikov, “On core of $p$-prefrattini subgroup of a finite soluble group”, PFMT, 2018, no. 2(35), 46–50

Citation in format AMSBIB
\Bibitem{Kam18}
\by S.~F.~Kamornikov
\paper On core of $p$-prefrattini subgroup of a finite soluble group
\jour PFMT
\yr 2018
\issue 2(35)
\pages 46--50
\mathnet{http://mi.mathnet.ru/pfmt566}


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    This publication is cited in the following articles:
    1. S. F. Kamornikov, O. L. Shemetkova, “Ob odnoi kharakterizatsii obobschennoi podgruppy Frattini konechnoi razreshimoi gruppy”, PFMT, 2019, no. 1(38), 50–55  mathnet
  • Проблемы физики, математики и техники
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