Email this article Finite Groups with Three Given Subgroups
- Authors: Vasil’ev A.F.1, Vasil’eva T.I.2, Parfenkov K.L.1
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Affiliations:
- Francisk Skorina Gomel State University
- Francisk Skorina Gomel State University Belarusian State University of Transport
- Issue: Vol 59, No 1 (2018)
- Pages: 50-58
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171648
- DOI: https://doi.org/10.1134/S0037446618010068
- ID: 171648
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Abstract
Given a hereditary saturated formation F of soluble groups, we study finite groups with three F-subgroups of coprime indices. We obtain the new criteria for these groups to lie in the Shemetkov formations, the formations of all supersoluble groups, the formations of all groups with nilpotent commutator subgroup, and other formations.
About the authors
A. F. Vasil’ev
Francisk Skorina Gomel State University
Author for correspondence.
Email: formation56@mail.ru
Belarus, Gomel
T. I. Vasil’eva
Francisk Skorina Gomel State University Belarusian State University of Transport
Email: formation56@mail.ru
Belarus, Gomel
K. L. Parfenkov
Francisk Skorina Gomel State University
Email: formation56@mail.ru
Belarus, Gomel
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