Email this article On the supersoluble residual of a product of subnormal supersoluble subgroups
- Authors: Monakhov V.S.1, Chirik I.K.2
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Affiliations:
- Francisk Skorina Gomel State University
- Gomel Engineering Institute of the Ministry for Emergency Situations of the Republic of Belarus
- Issue: Vol 58, No 2 (2017)
- Pages: 271-280
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171080
- DOI: https://doi.org/10.1134/S0037446617020094
- ID: 171080
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Abstract
We give a sufficient condition for supersolubility of a finite group that is a product of two subnormal supersoluble subgroups. We prove that the supersoluble residual of such a group is equal to its nilpotent residual. Also we apply these results to finite groups that are a product of two subnormal p-supersoluble subgroups.
About the authors
V. S. Monakhov
Francisk Skorina Gomel State University
Author for correspondence.
Email: Victor.Monakhov@gmail.com
Belarus, Gomel
I. K. Chirik
Gomel Engineering Institute of the Ministry for Emergency Situations of the Republic of Belarus
Email: Victor.Monakhov@gmail.com
Belarus, Gomel
