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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 2, Pages 286–297
DOI: https://doi.org/10.33048/smzh.2021.62.204 (Mi smj7556) 		 
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
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DOI: https://doi.org/10.33048/smzh.2021.62.204
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.
Funding agency Grant number
Belarusian Republican Foundation for Fundamental Research Ф20Р-291
S. F. Kamornikov was supported by the Ministry of Education of the Republic of Belarus (Grant GR 20191056). The first two authors were supported by the RFBR and BRFFR (Project F20R–291).
Received: 08.08.2020
Revised: 08.08.2020
Accepted: 18.11.2020
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 2, Pages 230–238
DOI: https://doi.org/10.1134/S003744662102004X
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 35R30
Language: Russian
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
Citation in format AMSBIB
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