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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2024, Issue 4(61), Pages 89–97
DOI: https://doi.org/10.54341/20778708_2024_4_61_89 (Mi pfmt1006) 		 
REVIEWS

The Kegel–Wielandt σ-problem: review of results

S. F. Kamornikova, V. N. Tyutyanovb

a Francisk Skorina Gomel State University
b Gomel Branch of International University «МIТSО»
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DOI: https://doi.org/10.54341/20778708_2024_4_61_89
Abstract: Let σ be a partition of the set of all prime numbers. In the paper the results of different years and different authors concerning the Kegel–Wielandt σ-problem are discussed, and the approaches to its solution are analised.
Keywords: finite group, Hall subgroup, finite simple group, subnormal subgroup, Kegel–Wielandt problem, partition of the set of all prime numbers, σ-subnormal subgroup, σ-complete group, Kegel–Wielandt σ-problem, subgroup lattice.
Funding agency Grant number
Russian Science Foundation
Belarusian Republican Foundation for Fundamental Research Ф23РНФ-237
Received: 18.08.2024
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: S. F. Kamornikov, V. N. Tyutyanov, “The Kegel–Wielandt σ-problem: review of results”, PFMT, 2024, no. 4(61), 89–97
Citation in format AMSBIB
\Bibitem{KamTyu24}
\by S.~F.~Kamornikov, V.~N.~Tyutyanov
\paper The Kegel--Wielandt $\sigma$-problem: review of results
\jour PFMT
\yr 2024
\issue 4(61)
\pages 89--97
\mathnet{http://mi.mathnet.ru/pfmt1006}
\crossref{https://doi.org/10.54341/20778708_2024_4_61_89}
\edn{https://elibrary.ru/BHOFNX}
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