On intersection of abnormal $A$-admissible subgroups with index restriction that do not contain a $\mathfrak{F}$-residual
Problemy fiziki, matematiki i tehniki, no. 4 (2019), pp. 39-43.

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In this paper the intersections of maximal subgroups close to $\mathfrak{F}$-abnormal, whose indices are not divisible by some prime numbers are investigated.
Keywords: finite group, abnormal subgroup, $\mathfrak{F}$-residual.
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R. V. Borodich. On intersection of abnormal $A$-admissible subgroups with index restriction that do not contain a $\mathfrak{F}$-residual. Problemy fiziki, matematiki i tehniki, no. 4 (2019), pp. 39-43. http://geodesic.mathdoc.fr/item/PFMT_2019_4_a7/

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

[2] W. Gaschütz, “Über die $\Phi$-Untergruppen endlicher Gruppen”, Math. Z., 58 (1953), 160–170 | DOI | MR | Zbl

[3] W.E. Deskins, “A condition for the solvability of a finite group”, III. J. Math., 5:2 (1961), 306–313 | MR | Zbl

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

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

[6] R. Carter, T. Hawkes, “The $\mathfrak{F}$-normalizers of a finite soluble group”, J. Algebra, 5:2 (1967), 175–202 | DOI | MR | Zbl

[7] L.A. Shemetkov, “Stupenchatye formatsii grupp”, Matem. sb., 94:4 (1974), 628–648 | Zbl

[8] R.V. Borodich, E.N. Borodich, M.V. Selkin, “Ob $\mathfrak{F}$-dostizhimykh podgruppakh v gruppakh s operatorami”, Problemy fiziki, matematiki i tekhniki, 2015, no. 2 (23), 33–39

[9] R.V. Borodich, “Ob abnormalnykh podgruppakh konechnykh grupp s zadannoi gruppoi operatorov”, Vesnik Vitsebskaga dzyarzhaunaga universiteta imya P. M. Masherava, 2003, no. 2, 111–115

[10] R.V. Borodich, “O peresechenii abnormalnykh podgrupp, ne soderzhaschikh $\mathfrak{F}$-koradikal”, Problemy fiziki, matematiki i tekhniki, 2019, no. 1 (38), 26–30

[11] R.V. Borodich, E.N. Borodich, M.V. Selkin, A.V. Buzlanov, “O peresechenii abnormalnykh podgrupp, ne soderzhaschikh $\mathfrak{F}$-koradikal, v gruppakh s operatorami”, Izvestiya Gomelskogo gosudarstvennogo universiteta im. F. Skoriny, 2019, no. 3 (114), 135–140