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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 2, Pages 353–361
DOI: https://doi.org/10.17377/smzh.2018.59.210 (Mi smj2977) 		 
On Shemetkov's theorem about the complementedness of the residual

X. Yia, S. F. Kamornikovb

a Department of Mathematics, Zhejiang Sci-Tech University Hangzhou, P. R. China
b F. Skorina Gomel State University, Gomel, Belarus
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DOI: https://doi.org/10.17377/smzh.2018.59.210
Abstract: A formation $\mathfrak F$ of finite groups is called a $GWP$-formation if the $\mathfrak F$-residual of the group generated by two $\mathfrak F$-subnormal subgroups is the subgroup generated by their $\mathfrak F$-residuals. The main aim of the article is to find some sufficient conditions for a finite group to split over its $\mathfrak F$-residual.
Keywords: finite group, formation, $GWP$-formation, complement, residual, $\mathfrak F$-subnormality.
Funding agency Grant number
Zhejiang Provincial Natural Science Foundation of China LY18A010028
The first author was supported by the Zhejiang Provincial Natural Science Foundation of China (Grant LY18A010028).
Received: 01.08.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 2, Pages 276–282
DOI: https://doi.org/10.1134/S0037446618020106
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 35R30
Language: Russian
Citation: X. Yi, S. F. Kamornikov, “On Shemetkov's theorem about the complementedness of the residual”, Sibirsk. Mat. Zh., 59:2 (2018), 353–361; Siberian Math. J., 59:2 (2018), 276–282
Citation in format AMSBIB
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