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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 5, Pages 1061–1072
DOI: https://doi.org/10.33048/smzh.2021.62.508 (Mi smj7614) 		 
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
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DOI: https://doi.org/10.33048/smzh.2021.62.508
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
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 5, Pages 859–867
DOI: https://doi.org/10.1134/S0037446621050086
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 35R30
Language: Russian
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
Citation in format AMSBIB
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\pages 1061--1072
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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