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Algebra and Discrete Mathematics, 2010, Volume 9, Issue 1, Pages 41–71 (Mi adm15)  

This article is cited in 1 scientific paper (total in 1 paper)

SURVEY ARTICLE

On some developments in investigation of groups with prescribed properties of generalized normal subgroups

V. V. Kirichenkoa, L. A. Kurdachenkob

a Department 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
Full-text PDF (349 kB) Citations (1)
Abstract: The survey is dedicated to investigation of groups with prescribed properties of generalized normal subgroups. The roots of such investigations lie in the works by R. Dedekind, R. Baer, O. Yu. Schmidt, and S. N. Chernikov. The main goal of this survey is to reflect some important developments in this area.
Keywords: normal subgroups, arrangement of subgroups, fan subgroups, pronormal subgroups, abnormal subgroups, quasicental subgroups.
Received: 05.02.2010
Revised: 02.03.2010
Bibliographic databases:
Document Type: Article
Language: English
Citation: V. V. Kirichenko, L. A. Kurdachenko, “On some developments in investigation of groups with prescribed properties of generalized normal subgroups”, Algebra Discrete Math., 9:1 (2010), 41–71
Citation in format AMSBIB
\Bibitem{KirKur10}
\by V.~V.~Kirichenko, L.~A.~Kurdachenko
\paper On some developments in investigation of groups with prescribed properties of generalized normal subgroups
\jour Algebra Discrete Math.
\yr 2010
\vol 9
\issue 1
\pages 41--71
\mathnet{http://mi.mathnet.ru/adm15}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2676711}
\zmath{https://zbmath.org/?q=an:1209.20027}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Algebra and Discrete Mathematics
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