Geodesic
On the intersection of functorial non-$\mathfrak{F}$-subgroups in groups with operators
Problemy fiziki, matematiki i tehniki, no. 3 (2022), pp. 72-75

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The paper considers the structure of the subgroup associated with the intersection of kernels maximal $A$-admissible subgroups that do not simultaneously belong to the formation $\mathfrak{F}$ and do not contain $\mathfrak{F}$-residuals whose indices have certain restrictions. The main properties of the corresponding generalized Frattini subgroup are established.
Keywords: finite group, $\mathfrak{F}$-residual.
Mots-clés : formation 
@article{PFMT_2022_3_a11,
     author = {R. V. Borodich},
     title = {On the intersection of functorial non-$\mathfrak{F}$-subgroups in groups with operators},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {72--75},
     publisher = {mathdoc},
     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2022_3_a11/}
}
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R. V. Borodich. On the intersection of functorial non-$\mathfrak{F}$-subgroups in groups with operators. Problemy fiziki, matematiki i tehniki, no. 3 (2022), pp. 72-75. http://geodesic.mathdoc.fr/item/PFMT_2022_3_a11/