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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2021, Issue 3(48), Pages 73–75
DOI: https://doi.org/10.54341/20778708_2021_3_48_73
(Mi pfmt797)
 

MATHEMATICS

Finite groups with subnormal derived subgroups of $B$-groups

V. N. Kniahina

Francisk Skorina Gomel State University
References:
Abstract: A finite non-nilpotent group $G$ is called $B$-group if every proper subgroup of the quotient group $G /\Phi(G)$ is nilpotent. In this paper, it is established that the metanilpotency of a finite group for which the derived subgroup of each $B$-subgroup is subnormal.
Keywords: finite group, $B$-group, subnormal subgroup, derived subgroup.
Received: 01.07.2021
Document Type: Article
UDC: 512.542
Language: Russian
Citation: V. N. Kniahina, “Finite groups with subnormal derived subgroups of $B$-groups”, PFMT, 2021, no. 3(48), 73–75
Citation in format AMSBIB
\Bibitem{Kny21}
\by V.~N.~Kniahina
\paper Finite groups with subnormal derived subgroups of $B$-groups
\jour PFMT
\yr 2021
\issue 3(48)
\pages 73--75
\mathnet{http://mi.mathnet.ru/pfmt797}
\crossref{https://doi.org/10.54341/20778708_2021_3_48_73}
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    Проблемы физики, математики и техники
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