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On $\sigma$-subnormality of Sylow subgroups in a finite group
S. F. Kamornikova, V. N. Tyutyanovb, O. L. Shemetkovac a F. Skorina Gomel State University, Gomel, Belarus
b MITSO International University, Gomel, Belarus
c Plekhanov Russian University of Economics, Moscow, Russia
Abstract:
Given an arbitrary partition $\sigma$ of the set of primes, we give some criteria for the $\sigma$-subnormality of a Sylow subgroup of a finite group.
Keywords:
finite group, partition of the set of primes, $\sigma$-subnormal subgroup, Sylow subgroup.
Received: 08.08.2020 Revised: 08.08.2020 Accepted: 18.11.2020
Citation:
S. F. Kamornikov, V. N. Tyutyanov, O. L. Shemetkova, “On $\sigma$-subnormality of Sylow subgroups in a finite group”, Sibirsk. Mat. Zh., 62:2 (2021), 286–297; Siberian Math. J., 62:2 (2021), 230–238
Linking options:
https://www.mathnet.ru/eng/smj7556 https://www.mathnet.ru/eng/smj/v62/i2/p286
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Abstract page: | 212 | Full-text PDF : | 33 | References: | 33 | First page: | 3 |
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