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This article is cited in 1 scientific paper (total in 1 paper)
On some criteria of $f$-hypercentral actions of finite groups
B. Lia, Q. Chena, Ch. Qiaolinb a School of Sciences, Nantong University, Nantong, P. R. China
b College of Applied Mathematics, Chengdu University
of Information Technology, Chengdu, P. R. China
Abstract:
Let $G$ be an $A$-group and let $f$ be a formation function. Note that $A$ is said to act $f$-hypercentrally on $G$ if $A/C_A(H/K)\in f(p)$ on every $A$-composition factor $H/K$ of $G$ for all $ p\in \pi (H/K)$. We obtain some criteria of the actions to be $f$-hypercentral and generalize a few available results.
Keywords:
finite group, formation, group action, $f$-hypercentral action.
Received: 20.10.2020 Revised: 20.10.2020 Accepted: 11.06.2021
Citation:
B. Li, Q. Chen, Ch. Qiaolin, “On some criteria of $f$-hypercentral actions of finite groups”, Sibirsk. Mat. Zh., 62:5 (2021), 1061–1072; Siberian Math. J., 62:5 (2021), 859–867
Linking options:
https://www.mathnet.ru/eng/smj7614 https://www.mathnet.ru/eng/smj/v62/i5/p1061
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Abstract page: | 184 | Full-text PDF : | 51 | References: | 41 | First page: | 2 |
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