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
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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/

[1] G. Frattini, “Intorno alla generasione dei gruppi di operazioni”, Atti Acad. Dei Lincei, 1 (1885), 281–285

[2] L.A. Shemetkov, Formatsii konechnykh grupp, Nauka, M., 1978, 267 pp.

[3] M.V. Selkin, Maksimalnye podgruppy v teorii klassov konechnykh grupp, Belaruskaya navuka, Minsk, 1997, 144 pp.

[4] R.V. Borodich, “O peresechenii ne $\mathfrak{F}$-podgrupp, vydelyaemykh podgruppovym funktorom, v gruppakh s operatorami”, Problemy fiziki, matematiki i tekhniki, 2021, no. 4 (49), 64–68

[5] V.V. Shlyk, “O peresechenii maksimalnykh podgrupp v konechnykh gruppakh”, Matematicheskie zametki, 14:3 (1973), 429–439

[6] L.I. Shidov, “O maksimalnykh podgruppakh konechnykh grupp”, Sibirskii matematicheskii zhuranal, 12:3 (1971), 682–683 | Zbl

[7] V.A. Vedernikov, T.T. Ogarkov, “Ob obobschennoi podgruppe Frattini konechnoi gruppy”, IV Vsesoyuz. simpozium po teorii grupp (Novosibirsk, 1973), 22–23

[8] V.A. Vedernikov, N.G. Duka, “Konechnye gruppy s obobschennoi podgruppoi Frattini”, IX Vsesoyuznyi algebraicheskii kollokvium (Gomel, 1968), 44

[9] A.N. Skiba, Algebra formatsii, Belaruskaya navuka, Minsk, 1997, 240 pp.

[10] R.V. Borodich, “O peresechenii maksimalnykh podgrupp konechnykh grupp”, Ukrainskii matematicheskii zhurnal, 71:11 (2019), 1455–1465