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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2022, Issue 1(50), Pages 94–100
DOI: https://doi.org/10.54341/20778708_2022_1_50_94 (Mi pfmt833) 		 
MATHEMATICS

Finite groups with a given system of formation maximal subgroups

A. K. Furs

Francisk Skorina Gomel State University
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DOI: https://doi.org/10.54341/20778708_2022_1_50_94
Abstract: We study finite groups that have three or four pairwise non-conjugate maximal subgroups belonging to a given saturated formation. New criteria for the belonging of a finite group to saturated formations of a supersoluble type are obtained.
Keywords: finite group, maximal subgroup, non-normal subgroup, supersoluble group, $w$-supersoluble group, saturated formation.
Received: 19.10.2021
Document Type: Article
UDC: 512.542
Language: Russian
Citation: A. K. Furs, “Finite groups with a given system of formation maximal subgroups”, PFMT, 2022, no. 1(50), 94–100
Citation in format AMSBIB
\Bibitem{Fur22}
\by A.~K.~Furs
\paper Finite groups with a given system of formation maximal subgroups
\jour PFMT
\yr 2022
\issue 1(50)
\pages 94--100
\mathnet{http://mi.mathnet.ru/pfmt833}
\crossref{https://doi.org/10.54341/20778708_2022_1_50_94}
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