Supersolubility of a Finite Group with Normally Embedded Maximal Subgroups in Sylow Subgroups
- Авторлар: Monakhov V.S.1, Trofimuk A.A.2
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Мекемелер:
- Francisk Skorina Gomel State University
- Pushkin Brest State University
- Шығарылым: Том 59, № 5 (2018)
- Беттер: 922-930
- Бөлім: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172067
- DOI: https://doi.org/10.1134/S0037446618050166
- ID: 172067
Дәйексөз келтіру
Аннотация
Let P be a subgroup of a Sylow subgroup of a finite group G. If P is a Sylow subgroup of some normal subgroup of G then P is called normally embedded in G. We establish tests for a finite group G to be p-supersoluble provided that every maximal subgroup of a Sylow p-subgroup of X is normally embedded in G. We study the cases when X is a normal subgroup of G, X = Op',p(H), and X = F*(H) where H is a normal subgroup of G.
Негізгі сөздер
Авторлар туралы
V. Monakhov
Francisk Skorina Gomel State University
Хат алмасуға жауапты Автор.
Email: victor.monakhov@gmail.com
Белоруссия, Gomel
A. Trofimuk
Pushkin Brest State University
Email: victor.monakhov@gmail.com
Белоруссия, Brest
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