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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 897–910
DOI: https://doi.org/10.17377/semi.2016.13.072 (Mi semr722) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematical logic, algebra and number theory

On finite groups with a given normal structure

A. F. Vasil'eva, T. I. Vasil'evab, E. N. Myslovetsa

a F. Scorina Gomel State University, Sovetskaya str., 104, 246019, Gomel, Republic of Belarus
b Belarusian State University of Transport, Kirova str., 34, 246653, Gomel, Republic of Belarus
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DOI: https://doi.org/10.17377/semi.2016.13.072
Abstract: We investigate classes of finite groups which are local analogues of quasinilpotent group, as well as $c$-supersoluble, $ca$-solvable and $ca$-supersoluble groups introduced by V. A. Vedernikov. We obtained the properties of these classes and their application in the study of factorizations of finite groups by their normal and mutually permutable subgroups.
Keywords: finite group, $J$-quasinilpotent group, $Jc$-supersoluble group, $Jca$-soluble group, $Jca$-supersoluble group, product of normal subgroups, composition formation.
Received July 13, 2016, published October 24, 2016
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 20D30, 20D40, 20F17
Language: Russian
Citation: A. F. Vasil'ev, T. I. Vasil'eva, E. N. Myslovets, “On finite groups with a given normal structure”, Sib. Èlektron. Mat. Izv., 13 (2016), 897–910
Citation in format AMSBIB
\Bibitem{VasVasMys16}
\by A.~F.~Vasil'ev, T.~I.~Vasil'eva, E.~N.~Myslovets
\paper On finite groups with a given normal structure
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 897--910
\mathnet{http://mi.mathnet.ru/semr722}
\crossref{https://doi.org/10.17377/semi.2016.13.072}
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