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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 1, Pages 210–220
DOI: https://doi.org/10.33048/smzh.2021.62.118 (Mi smj7550) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Finite groups with weakly subnormal and partially subnormal subgroups

J. Huanga, B. Hua, A. N. Skibab

a School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, China
b Francisk Skorina Gomel State University, Gomel, Belarus
Full-text PDF (464 kB) Citations (6)
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DOI: https://doi.org/10.33048/smzh.2021.62.118
Abstract: We study the influence of weakly subnormal and partially subnormal subgroups on the structure of a group $G$. In particular, we prove that a finite group $G$ is supersoluble if and only if $ G = AB $, where $A$ and $B$ are supersoluble weakly subnormal subgroups in $G$, and every Schmidt subgroup in $G$ is partially subnormal in $G$.
Keywords: finite group, weakly subnormal subgroup, partially subnormal subgroup, supersoluble group, Schmidt subgroup.
Funding agency Grant number
National Natural Science Foundation of China 11401264
TAPP of Jiangsu Higher Education Institutions PPZY 2015A013
The authors were supported by the NNSF of China (Grant 11401264) and aВ TAPP of Jiangsu Higher Education Institutions (Grant PPZY 2015A013).
Received: 27.11.2019
Revised: 04.08.2020
Accepted: 10.08.2020
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 1, Pages 169–177
DOI: https://doi.org/10.1134/S0037446621010183
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: J. Huang, B. Hu, A. N. Skiba, “Finite groups with weakly subnormal and partially subnormal subgroups”, Sibirsk. Mat. Zh., 62:1 (2021), 210–220; Siberian Math. J., 62:1 (2021), 169–177
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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