Finite Groups with Three Given Subgroups
- Autores: Vasil’ev A.F.1, Vasil’eva T.I.2, Parfenkov K.L.1
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Afiliações:
- Francisk Skorina Gomel State University
- Francisk Skorina Gomel State University Belarusian State University of Transport
- Edição: Volume 59, Nº 1 (2018)
- Páginas: 50-58
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171648
- DOI: https://doi.org/10.1134/S0037446618010068
- ID: 171648
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Resumo
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.
Sobre autores
A. Vasil’ev
Francisk Skorina Gomel State University
Autor responsável pela correspondência
Email: formation56@mail.ru
Belarus, Gomel
T. Vasil’eva
Francisk Skorina Gomel State University Belarusian State University of Transport
Email: formation56@mail.ru
Belarus, Gomel
K. Parfenkov
Francisk Skorina Gomel State University
Email: formation56@mail.ru
Belarus, Gomel
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