Email this article On Shemetkov’s Theorem About The Complementedness of the Residual
- Authors: Yi X.1, Kamornikov S.F.2
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Affiliations:
- Department of Mathematics
- F. Skorina Gomel State University
- Issue: Vol 59, No 2 (2018)
- Pages: 276-282
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171761
- DOI: https://doi.org/10.1134/S0037446618020106
- ID: 171761
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Abstract
A formation F of finite groups is called a GWP-formation if the F-residual of the group generated by two F-subnormal subgroups is the subgroup generated by their F-residuals. The main aim of the article is to find some sufficient conditions for a finite group to split over its F-residual.
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About the authors
X. Yi
Department of Mathematics
Author for correspondence.
Email: yixiaolan2005@126.com
China, Hangzhou
S. F. Kamornikov
F. Skorina Gomel State University
Email: yixiaolan2005@126.com
Belarus, Gomel
