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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 2, Pages 439–450 (Mi smj2317)  
This article is cited in 1 scientific paper (total in 1 paper)

A covering subgroup system for the class of $p$-nilpotent groups

J. Huangab, N. Yanga, B. Hub, X. Yua

a Department of Mathematics, University of Science and Technology of China, Hefei, P. R. China
b School of Mathematical Sciences, Xuzhou Normal University, Xuzhou, P. R. China
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Abstract: Let $\mathscr F$ be a class of groups and let $G$ be a finite group. We call a set $\Sigma$ of subgroups of $G$ a covering subgroup system of $G$ for $\mathscr F$ (or directly an $\mathscr F$-covering subgroup system of $G$) if $G\in\mathscr F$ whenever every subgroup in $\Sigma$ is in $\mathscr F$. We give some covering subgroup systems for the class of all $p$-nilpotent groups.
Keywords: Sylow subgroup, $\mathscr F_s$-quasinormal subgroups, supplement of subgroups, $p$-nilpotent group, covering subgroup system.
Received: 14.01.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 2, Pages 352–360
DOI: https://doi.org/10.1134/S0037446612020176
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: J. Huang, N. Yang, B. Hu, X. Yu, “A covering subgroup system for the class of $p$-nilpotent groups”, Sibirsk. Mat. Zh., 53:2 (2012), 439–450; Siberian Math. J., 53:2 (2012), 352–360
Citation in format AMSBIB
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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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