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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)
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REVIEWS
The Kegel–Wielandt $\sigma$-problem: review of results
S. F. Kamornikova, V. N. Tyutyanovb
a Francisk Skorina Gomel State University
b Gomel Branch of International University «МIТSО»
DOI:
https://doi.org/10.54341/20778708_2024_4_61_89
Abstract:
Let $\sigma$ 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 $\sigma$-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, $\sigma$-subnormal subgroup, $\sigma$-complete group, Kegel–Wielandt $\sigma$-problem, subgroup lattice.
Received: 18.08.2024
Citation:
S. F. Kamornikov, V. N. Tyutyanov, “The Kegel–Wielandt $\sigma$-problem: review of results”, PFMT, 2024, no. 4(61), 89–97
Linking options:
https://www.mathnet.ru/eng/pfmt1006 https://www.mathnet.ru/eng/pfmt/y2024/i4/p89
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