Geodesic
On the classes of finite groups defined by the systems of generalized subnormal subgroups
Trudy Instituta matematiki, Tome 32 (2024) no. 1, pp. 25-30

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The canonical locals definitions of the classes of groups defined by the systems of generalized subnormal subgroups in the case when these classes are local are constructed in the paper. Conditions are found under which a class of groups defined by a system of generalized subnormal subgroups is a Fitting formation.
Keywords: finite group, $\mathfrak{F}$-subnormal subgroup, saturated formation, Fitting formation. 
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     title = {On the classes of finite groups defined by the systems of generalized subnormal subgroups},
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V. I. Murashka. On the classes of finite groups defined by the systems of generalized subnormal subgroups. Trudy Instituta matematiki, Tome 32 (2024) no. 1, pp. 25-30. http://geodesic.mathdoc.fr/item/TIMB_2024_32_1_a3/