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Algebra and Discrete Mathematics, 2005, Issue 3, Pages 85–95 (Mi adm314)  
This article is cited in 23 scientific papers (total in 23 papers)

RESEARCH ARTICLE

A note on $c$-normal subgroups of finite groups

Alexander N. Skiba

Gomel State University of F. Skorina, Belarus, 246019, Gomel, Sovetskaya Str., 104
Full-text PDF (214 kB) Citations (23)
Abstract: Let $G$ be a finite group. We fix in every non-cyclic Sylow subgroup $P$ of $G$ some its subgroup $D$ satisfying $1<|D|<|P|$ and study the structure of $G$ under assumption that all subgroups $H$ of $P$ with $|H|=|D|$ are $c$-normal in $G$.
Keywords: finite group, supersoluble group, $c$-normal subgroup, maximal subgroup, Sylow subgroup.
Received: 14.06.2005
Revised: 15.09.2005
Bibliographic databases:
Document Type: Article
MSC: 20D20
Language: English
Citation: Alexander N. Skiba, “A note on $c$-normal subgroups of finite groups”, Algebra Discrete Math., 2005, no. 3, 85–95
Citation in format AMSBIB
\Bibitem{Ski05}
\by Alexander~N.~Skiba
\paper A note on $c$-normal subgroups of finite groups
\jour Algebra Discrete Math.
\yr 2005
\issue 3
\pages 85--95
\mathnet{http://mi.mathnet.ru/adm314}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2237897}
\zmath{https://zbmath.org/?q=an:1092.20018}
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  • https://www.mathnet.ru/eng/adm314
  • https://www.mathnet.ru/eng/adm/y2005/i3/p85
    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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