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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 1, Pages 224–235 (Mi smj19)  

This article is cited in 5 scientific papers (total in 5 papers)

$c$-Semipermutable subgroups of finite groups

B. Huab, W. Guoab

a Department of Mathematics, University of Science and Technology of China, Hefei, P. R. China
b Department of Mathematics, Xuzhou Normal University, Xuzhou, P. R. China
Full-text PDF (239 kB) Citations (5)
References:
Abstract: A subgroup is called $c$-semipermutable in $G$ if $A$ has a minimal supplement $T$ in $G$ such that for every subgroup $T_1$ of $T$ there is an element $x\in T$ satisfying $AT_1^x=T_1^xA$. We obtain a few results about the $c$-semipermutable subgroups and use them to determine the structures of some finite groups.
Keywords: finite group, $c$-semipermutable subgroup, maximal subgroups of Sylow subgroups, supersoluble group, $p$-nilpotent group.
Received: 24.08.2005
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 1, Pages 180–188
DOI: https://doi.org/10.1007/s11202-007-0019-z
Bibliographic databases:
UDC: 512.54
Language: Russian
Citation: B. Hu, W. Guo, “$c$-Semipermutable subgroups of finite groups”, Sibirsk. Mat. Zh., 48:1 (2007), 224–235; Siberian Math. J., 48:1 (2007), 180–188
Citation in format AMSBIB
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  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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