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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 2, Pages 337–343
DOI: https://doi.org/10.33048/smzh.2020.61.209 (Mi smj5986) 		 
This article is cited in 15 scientific papers (total in 15 papers)

On $\sigma$-subnormal subgroups of finite groups

S. F. Kamornikova, V. N. Tyutyanovb

a Gomel State University named after Francisk Skorina
b Gomel Branch of International University "MITSO"
Full-text PDF (428 kB) Citations (15)
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DOI: https://doi.org/10.33048/smzh.2020.61.209
Abstract: Let $p$ be a prime and let $\sigma = \{\{p\}, \{p\}'\}$ be a partition of the set ${\Bbb P}$ of all primes. We prove the following conjecture by Skiba: If each complete Hall set of type $\sigma$ in a finite group $G$ is reducible to some subgroup $H$ of $G$ then $H$ is $\sigma$-subnormal in $G$.
Keywords: finite group, $\sigma$-subnormal subgroup, Hall subgroup, complete Hall set.
Funding agency Grant number
Ministry of Education of the Republic of Belarus 20191056
S. F. Kamornikov was supported by the Ministry of Education of the Republic of Belarus (Grant GR 20191056).
Received: 03.08.2019
Revised: 09.09.2019
Accepted: 18.10.2019
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 2, Pages 266–270
DOI: https://doi.org/10.1134/S0037446620020093
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 35R30
Language: Russian
Citation: S. F. Kamornikov, V. N. Tyutyanov, “On $\sigma$-subnormal subgroups of finite groups”, Sibirsk. Mat. Zh., 61:2 (2020), 337–343; Siberian Math. J., 61:2 (2020), 266–270
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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