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Algebra and Discrete Mathematics, 2011, Volume 11, Issue 1, Pages 75–108 (Mi adm6)  
This article is cited in 5 scientific papers (total in 5 papers)

SURVEY ARTICLE

Some related to pronormality subgroup families and the properties of a group

Vladimir V. Kirichenkoa, Leonid A. Kurdachenkob, Igor Ya. Subbotinc

a Department of Geometry, School of Mechanics and Mathematics, Kyiv National Taras Shevchenko University, Volodymyrska, 64, Kyiv, 01033, Ukraine
b Department of Algebra, School of Mathematics and Mechanics, National University of Dnepropetrovsk, Gagarin Prospect 72, Dnepropetrovsk 10, 49010, Ukraine
c Department of Mathematics and Natural Sciences, National University, 5245 Pacific Concourse Drive, Los Angeles, CA 90045-6904, USA
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Abstract: Some influential families of subgroups such as pronormal subgroups, contranormal subgroups, and abnormal subgroups, their generalizations, characterizations, interplays between them and the group, and their connections to other types of subgroups have been considered.
Keywords: normal subgroups, subnormal subgroup, contranormal subgroup, abnormal subgroups, pronormal subgroups, transitivity of normality, permutable subgroups, soluble group, radical group, locally graded group.
Received: 14.03.2011
Revised: 18.03.2011
Bibliographic databases:
Document Type: Article
MSC: 20E15, 20E34, 20F19, 20F22
Language: English
Citation: Vladimir V. Kirichenko, Leonid A. Kurdachenko, Igor Ya. Subbotin, “Some related to pronormality subgroup families and the properties of a group”, Algebra Discrete Math., 11:1 (2011), 75–108
Citation in format AMSBIB
\Bibitem{KirKurSub11}
\by Vladimir V. Kirichenko, Leonid A. Kurdachenko, Igor Ya. Subbotin
\paper Some related to pronormality subgroup families and the properties of a group
\jour Algebra Discrete Math.
\yr 2011
\vol 11
\issue 1
\pages 75--108
\mathnet{http://mi.mathnet.ru/adm6}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2868361}
\zmath{https://zbmath.org/?q=an:06120598}
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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
    		Algebra and Discrete Mathematics
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