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Algebra and Discrete Mathematics, 2016, Volume 21, Issue 1, Pages 111–127 (Mi adm556)  
This article is cited in 3 scientific papers (total in 3 papers)

RESEARCH ARTICLE

The groups whose cyclic subgroups are either ascendant or almost self-normalizing

Leonid A. Kurdachenkoa, Aleksandr A. Pypkaa, Nikolaj N. Semkob

a Department of Geometry and Algebra, Oles Honchar Dnipropetrovsk National University, Gagarin prospect, 72, Dnipropetrovsk, 49010, Ukraine
b Department of Mathematics, National University of The State Tax Service of Ukraine, Irpen, Ukraine
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Abstract: The main result of this paper shows a description of locally finite groups, whose cyclic subgroups are either almost self-normalizing or ascendant. Also, we obtained some natural corollaries of the above situation.
Keywords: locally finite group, self-normalizing subgroup, ascendant subgroup, subnormal subgroup, Gruenberg radical, Baer radical.
Received: 10.11.2015
Bibliographic databases:
Document Type: Article
MSC: 20E15, 20F19, 20F22, 20F50
Language: English
Citation: Leonid A. Kurdachenko, Aleksandr A. Pypka, Nikolaj N. Semko, “The groups whose cyclic subgroups are either ascendant or almost self-normalizing”, Algebra Discrete Math., 21:1 (2016), 111–127
Citation in format AMSBIB
\Bibitem{KurPypSem16}
\by Leonid~A.~Kurdachenko, Aleksandr~A.~Pypka, Nikolaj~N.~Semko
\paper The groups whose cyclic subgroups are either ascendant or almost self-normalizing
\jour Algebra Discrete Math.
\yr 2016
\vol 21
\issue 1
\pages 111--127
\mathnet{http://mi.mathnet.ru/adm556}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3537487}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000382847600008}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
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