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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2022, Issue 1(50), Pages 74–77
DOI: https://doi.org/10.54341/20778708_2022_1_50_74 (Mi pfmt829) 		 
MATHEMATICS

On supersolvability of a finite group with $Z$-supplements to the normalizers of Sylow subgroups

V. S. Monakhova, I. K. Chirikb

a Francisk Skorina Gomel State University
b University of Civil Protection of the Ministry for Emergency Situations of the Republic of Belarus, Minsk
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DOI: https://doi.org/10.54341/20778708_2022_1_50_74
Abstract: We study a finite group in which the normalizer of each Sylow subgroup has a Hall supplement with cyclic Sylow subgroups. In particular, it is established that such groups are supersoluble.
Keywords: finite group, Sylow subgroup, normalizer, cyclic subgroup, supplement.
Received: 25.11.2021
Document Type: Article
UDC: 512.542
Language: Russian
Citation: V. S. Monakhov, I. K. Chirik, “On supersolvability of a finite group with $Z$-supplements to the normalizers of Sylow subgroups”, PFMT, 2022, no. 1(50), 74–77
Citation in format AMSBIB
\Bibitem{MonChi22}
\by V.~S.~Monakhov, I.~K.~Chirik
\paper On supersolvability of a finite group with $Z$-supplements to the normalizers of Sylow subgroups
\jour PFMT
\yr 2022
\issue 1(50)
\pages 74--77
\mathnet{http://mi.mathnet.ru/pfmt829}
\crossref{https://doi.org/10.54341/20778708_2022_1_50_74}
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    		Проблемы физики, математики и техники
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