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Tr. Inst. Mat., 2015, Volume 23, Number 2, Pages 88–96 (Mi timb246)  

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

On $p$-supersoluble residual of a product of normal $p$-supersoluble subgroups

V. S. Monakhovab, I. K. Chirikab

a Gomel State University named after Francisk Skorina
b Gomel Engineering Institute, Ministry of Extraordinary Situations of the Republic of Belarus

Abstract: Let a finite group $G$ be a product of two normal $p$-supersoluble subgroups. We prove that the $p$-supersoluble residual of $G$ coincides with the $p$-nilpotent residual of the commutator subgroup of $G$. Hence it follows that the supersoluble residual of a product of normal supersoluble subgroups coincides with the nilpotent residual of the commutator subgroup.

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UDC: 512.542
Received: 21.10.2015

Citation: V. S. Monakhov, I. K. Chirik, “On $p$-supersoluble residual of a product of normal $p$-supersoluble subgroups”, Tr. Inst. Mat., 23:2 (2015), 88–96

Citation in format AMSBIB
\Bibitem{MonChi15}
\by V.~S.~Monakhov, I.~K.~Chirik
\paper On $p$-supersoluble residual of a product of normal $p$-supersoluble subgroups
\jour Tr. Inst. Mat.
\yr 2015
\vol 23
\issue 2
\pages 88--96
\mathnet{http://mi.mathnet.ru/timb246}


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    This publication is cited in the following articles:
    1. V. S. Monakhov, I. K. Chirik, “On the supersoluble residual of a product of subnormal supersoluble subgroups”, Siberian Math. J., 58:2 (2017), 271–280  mathnet  crossref  crossref  isi  elib  elib
  • Труды Института математики
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