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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 8, Pages 36–43
DOI: https://doi.org/10.26907/0021-3446-2020-8-36-43 (Mi ivm9601) 		 
This article is cited in 4 scientific papers (total in 4 papers)

A criterion for the $\sigma$-subnormality of a subgroup in a finite $3'$-group

S. F. Kamornikova, V. N. Tyutyanovb

a Francisk Skorina Gomel State University, 104 Sovetskaya str., Gomel, 246019 Republic of Belarus
b Gomel Branch of the International University , 46 а October Ave., Gomel, 246029 Republic of Belarus
Full-text PDF (382 kB) Citations (4)
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DOI: https://doi.org/10.26907/0021-3446-2020-8-36-43
Abstract: For a partition $\sigma$ of the set $\mathbb{P}$ of all primes, it is solved, that if a subgroup $H$ of a finite $3'$-group $G$ is $\sigma$-subnormal in $<H,H^x>$ for any $x \in G$, then $H$ is $\sigma$-subnormal in $G$.
Keywords: finite group, $\sigma$-subnormal subgroup, subnormal subgroup, Suzuki group.
Funding agency Grant number
Ministry of Education of the Republic of Belarus 20191056
Received: 23.09.2019
Revised: 23.09.2019
Accepted: 29.06.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 8, Pages 30–36
DOI: https://doi.org/10.3103/S1066369X20080046
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: S. F. Kamornikov, V. N. Tyutyanov, “A criterion for the $\sigma$-subnormality of a subgroup in a finite $3'$-group”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 8, 36–43; Russian Math. (Iz. VUZ), 64:8 (2020), 30–36
Citation in format AMSBIB
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\paper A criterion for the $\sigma$-subnormality of a subgroup in a finite $3'$-group
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
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\issue 8
\pages 36--43
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\vol 64
\issue 8
\pages 30--36
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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