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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
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
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
Linking options:
https://www.mathnet.ru/eng/semr722 https://www.mathnet.ru/eng/semr/v13/p897
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