| Autor: |
Vasil'ev, A. F., Vasil'eva, T. I., Melchenko, A. G. |
| Rok vydání: |
2019 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
Let $\pi$ be a set of primes and $\mathfrak{F}$ be a formation. In this article a properties of the class ${\rm w}^{*}_{\pi}\mathfrak{F}$ of all groups $G$, such that $\pi(G)\subseteq \pi(\mathfrak{F})$ and the normalizers of all Sylow $p$-subgroups of $G$ are $\mathfrak{F}$-subnormal in $G$ for every $p\in\pi\cap\pi(G)$ are investigated. It is established that ${\rm w}^{*}_{\pi}\mathfrak{F}$ is a formation. Some hereditary saturated formations $\mathfrak{F}$ for which ${\rm w}^{*}_{\pi}\mathfrak{F}=\mathfrak{F}$ are founded. |
| Databáze: |
arXiv |
| Externí odkaz: |
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