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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 4, Pages 858–864 (Mi smj2008)  
This article is cited in 14 scientific papers (total in 14 papers)

On the $p$-supersolubility of a finite group with a $\mu$-supplemented Sylow $p$-subgroup

V. S. Monakhov, A. V. Shnyparkov

Gomel State University, Gomel, Belarus
Full-text PDF (279 kB) Citations (14)
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Abstract: A subgroup $H$ of a group $G$ is called $\mu$-supplemented in $G$ if there exists a subgroup $K$ such that $G=HK$ and $H_1K$ is a proper subgroup in $G$ for every maximal subgroup $H_1$ in $H$. For the initial values of $p$, we establish the $p$-supersolubility of a finite group with a $\mu$-supplemented Sylow $p$-subgroup.
Keywords: finite group, supersoluble group, Sylow subgroup, supplement.
Received: 17.06.2008
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 4, Pages 681–686
DOI: https://doi.org/10.1007/s11202-009-0077-5
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: V. S. Monakhov, A. V. Shnyparkov, “On the $p$-supersolubility of a finite group with a $\mu$-supplemented Sylow $p$-subgroup”, Sibirsk. Mat. Zh., 50:4 (2009), 858–864; Siberian Math. J., 50:4 (2009), 681–686
Citation in format AMSBIB
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\paper On the $p$-supersolubility of a~finite group with a~$\mu$-supplemented Sylow $p$-subgroup
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\vol 50
\issue 4
\pages 858--864
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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