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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 4, Pages 865–871 (Mi smj2009)  
This article is cited in 3 scientific papers (total in 3 papers)

A condition for the solvability of finite groups

L. Miaoa, G. Qianb

a School of Mathematical Sciences, Yangzhou University, Yangzhou, P. R. China
b Department of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu, P. R. China
Full-text PDF (289 kB) Citations (3)
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Abstract: A subgroup $H$ is called $\mathscr M$-supplemented in a finite group $G$, if there exists a subgroup $B$ of $G$ such that $G=HB$ and $H_1B$ is a proper subgroup of $G$ for every maximal subgroup $H_1$ of $H$. We investigate the influence of $\mathscr M$-supplementation of Sylow subgroups and obtain a condition for solvability and $p$-supersolvability of finite groups.
Keywords: solvable group, Sylow subgroup, $\mathscr M$-supplemented subgroup, finite group.
Received: 03.09.2007
Revised: 22.01.2008
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 4, Pages 687–691
DOI: https://doi.org/10.1007/s11202-009-0078-4
Bibliographic databases:
UDC: 512.54
Language: Russian
Citation: L. Miao, G. Qian, “A condition for the solvability of finite groups”, Sibirsk. Mat. Zh., 50:4 (2009), 865–871; Siberian Math. J., 50:4 (2009), 687–691
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/smj2009
  • https://www.mathnet.ru/eng/smj/v50/i4/p865
    • This publication is cited in the following 3 articles:
    1. Miao L., Zhang J., “On a Class of Non-Solvable Groups”, J. Algebra, 496 (2018), 1–10  crossref  mathscinet  zmath  isi  scopus
    2. Zhang J., Gao B., Miao L., “Solvability of Finite Groups”, Front. Math. China, 12:6, SI (2017), 1501–1514  crossref  mathscinet  zmath  isi  scopus
    3. V. S. Monakhov, A. V. Shnyparkov, “On the $p$-supersolubility of a finite group with a $\mu$-supplemented Sylow $p$-subgroup”, Siberian Math. J., 50:4 (2009), 681–686  mathnet  crossref  mathscinet  isi
    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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