On the intersection of non-$\mathfrak{F}$-subgroups, distinguished by a subgroup function, in groups with operators
Problemy fiziki, matematiki i tehniki, no. 4 (2021), pp. 64-68

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The structure of a subgroup associated with the intersection of kernels of maximal $A$-admissible subgroups that do not contain the $\mathfrak{F}$-residual and do not belong to the $\mathfrak{F}$ formation whose indices have restrictions are considered. The properties of the corresponding generalized Frattini subgroup are established.
Keywords: finite group, $\mathfrak{F}$-residual.
Mots-clés : formation
@article{PFMT_2021_4_a9,
     author = {R. V. Borodich},
     title = {On the intersection of non-$\mathfrak{F}$-subgroups, distinguished by a subgroup function, in groups with operators},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {64--68},
     publisher = {mathdoc},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2021_4_a9/}
}
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R. V. Borodich. On the intersection of non-$\mathfrak{F}$-subgroups, distinguished by a subgroup function, in groups with operators. Problemy fiziki, matematiki i tehniki, no. 4 (2021), pp. 64-68. http://geodesic.mathdoc.fr/item/PFMT_2021_4_a9/