| Title: | Finite groups with F-subnormal normalizers of Sylow subgroups |
| Authors: | Vasil’ev, A.F. Vasil’eva, T.I. Melchenko, A.G. Васильев, А.Ф. Васильева, Т.И. Мельченко, А.Г. |
| Keywords: | finite group Sylow subgroup normalizer of Sylow subgroup formation hereditary saturated formation F-subnormal subgroup K-F-subnormal subgroup strongly K-F-subnormal subgroup |
| Issue Date: | 2019 |
| Citation: | Vasil’ev, A.F. Finite groups with F-subnormal normalizers of Sylow subgroups / A.F. Vasil’ev, T.I. Vasil’eva, A.G. Melchenko // arXiv.org.math.GR. - 2019. - arXiv:1904.0698v1. - P. [1-11]. |
| Abstract: | Let π be a set of primes and F be a formation. In this article a properties of the class w∗ πF of all groups G, such that π(G) ⊆ π(F) and the normalizers of all Sylow p-subgroups of G are F-subnormal in G for every p ∈ π ∩ π(G) are investigated. It is established that w∗ πF is a formation. Some hereditary saturated formations F for which w∗ πF = F are founded. |
| URI: | https://elib.gsu.by/handle123456789/73237 |
| Appears in Collections: | Статьи |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Vasil'ev_Finite_groups.pdf | 159.33 kB | Adobe PDF | View/Open |
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