Some Results on the   \({\cal F}{\rm{\Phi }}\)  -Hypercenter of Finite Groups

J. P. Tang; J. Zhang; L. Miao

doi:10.1134/S0001434619050262

Some Results on the \({\cal F}{\rm{\Phi }}\)-Hypercenter of Finite Groups

作者: Tang J.P.¹, Zhang J.², Miao L.³
隶属关系:
1. Wuxi Institute of Technology
2. School of Mathematics and Information
3. School of Mathematical Sciences
期: 卷 105, 编号 5-6 (2019)
页面: 888-893
栏目: Article
URL: https://journals.rcsi.science/0001-4346/article/view/151791
DOI: https://doi.org/10.1134/S0001434619050262
ID: 151791

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详细

Asubgroup H of G is said to be \({{\cal M}_p}\)-supplemented in G if there exists a subgroup B of G such that G = HB and TB < G for every maximal subgroup T of H with ∣H: T∣ = p^α. In this paper, we will investigate the structure of \({Z_{{\cal F}\Phi }}\left( G \right)\) by using \({{\cal M}_p}\)-supplemented subgroups.