On finite groups with a given normal structure

A. F. Vasil'ev ; T. I. Vasil'eva ; E. N. Myslovets

Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 897-910.

Résumé

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.

Détail

Keywords: finite group, $Jc$-supersoluble group, $Jca$-supersoluble group, product of normal subgroups
Mots-clés : $J$-quasinilpotent group, $Jca$-soluble group, composition formation.

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