Sib. Èlektron. Mat. Izv., 2016, Volume 13, Pages 897–910
This article is cited in 1 scientific paper (total in 1 paper)
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
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.
finite group, $J$-quasinilpotent group, $Jc$-supersoluble group, $Jca$-soluble group, $Jca$-supersoluble group, product of normal subgroups, composition formation.
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MSC: 20D30, 20D40, 20F17
Received July 13, 2016, published October 24, 2016
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
\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.
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This publication is cited in the following articles:
E. N. Myslovets, “$J$-construction of composition formations and products of finite groups”, PFMT, 2016, no. 4(29), 68–73
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