Geodesic
On finite groups with a given normal structure
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 897-910

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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, $Jc$-supersoluble group, $Jca$-supersoluble group, product of normal subgroups
Mots-clés : $J$-quasinilpotent group, $Jca$-soluble group, composition formation. 
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     author = {A. F. Vasil'ev and T. I. Vasil'eva and E. N. Myslovets},
     title = {On finite groups with a given normal structure},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {897--910},
     publisher = {mathdoc},
     volume = {13},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a25/}
}
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A. F. Vasil'ev; T. I. Vasil'eva; E. N. Myslovets. On finite groups with a given normal structure. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 897-910. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a25/