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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 2, Pages 450–456
DOI: https://doi.org/10.33048/smzh.2021.62.215
(Mi smj7567)
 

This article is cited in 5 scientific papers (total in 5 papers)

Finite groups with generalized subnormal Schmidt subgroups

F. Suna, Yi Xiaolana, S. F. Kamornikovb

a Zhejiang Sci-Tech University, Hangzhou, P. R. China
b F. Skorina Gomel State University, Gomel, Belarus
Full-text PDF (424 kB) Citations (5)
References:
Abstract: Given a prime $p$ and a partition $\sigma = \{\{p\}, \{p\}'\}$ of the set of all primes, we describe the structure of the nonnilpotent finite groups whose every Schmidt subgroup is $\sigma$-subnormal.
Keywords: finite group, $\sigma$-subnormal subgroup, Schmidt group, Frobenius group.
Funding agency Grant number
Belarusian Republican Foundation for Fundamental Research Ф20Р-291
Zhejiang Provincial Natural Science Foundation of China LY18A010028
The third author was supported by the RFBR and the BRFFR (Grant F20R–291). The second author was supported by the Zhejiang Provincial Natural Science Foundation of China (Grant LY18A010028).
Received: 10.09.2020
Revised: 29.10.2020
Accepted: 18.11.2020
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 2, Pages 364–369
DOI: https://doi.org/10.1134/S0037446621020154
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 35R30
Language: Russian
Citation: F. Sun, Yi Xiaolan, S. F. Kamornikov, “Finite groups with generalized subnormal Schmidt subgroups”, Sibirsk. Mat. Zh., 62:2 (2021), 450–456; Siberian Math. J., 62:2 (2021), 364–369
Citation in format AMSBIB
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  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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