Intersections of maximal $\theta$-subgroups containing formation radicals
Problemy fiziki, matematiki i tehniki, no. 1 (2018), pp. 45-54.

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Intersections $\Phi_{\theta, G_{\mathfrak{F}}}$ of all maximal $\theta$-subgroups of a finite group $G$, containing $G_{\mathfrak{F}}$, for nonempty radical formations $\mathfrak{F}$ and the abnormally full subgroup $m_s$-functor $\theta$ are studied.
Keywords: radical formations of finite groups, $\mathfrak{F}$-radicals, subgroup $m$-functor, intersections of maximal $\theta$-subgroups.
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L. M. Belokon. Intersections of maximal $\theta$-subgroups containing formation radicals. Problemy fiziki, matematiki i tehniki, no. 1 (2018), pp. 45-54. http://geodesic.mathdoc.fr/item/PFMT_2018_1_a7/

[1] L.A. Shemetkov, Formatsii konechnykh grupp, Nauka, M., 1978, 272 pp.

[2] S.F. Kamornikov, M.V. Selkin, Podgruppovye funktory i klassy konechnykh grupp, Bel. Navuka, Mn., 2003, 254 pp.

[3] L.M. Belokon, “K voprosu o peresecheniyakh maksimalnykh $\theta$-podgrupp konechnykh grupp”, Problemy fiziki, matematiki i tekhniki, 2015, no. 3(24), 46–50

[4] L.M. Belokon, “O peresecheniyakh maksimalnykh $\theta_\pi$-podgrupp konechnykh grupp i $\mathfrak{F}$-abnormalno $\pi'$-polnyi podgruppovoi $m$-funktor”, Problemy fiziki, matematiki i tekhniki, 2015, no. 4(25), 50–58

[5] E.N. Borodich, R.V. Borodich, “O peresecheniyakh $\mathfrak{F}$-abnormalnykh maksimalnykh $\theta$-podgrupp”, Vestsi Natsyyanalnai Akademii Navuk Belarusi, 2007, no. 3, 47–52

[6] M.V. Selkin, R.V. Borodich, “O peresecheniyakh maksimalnykh podgrupp konechnykh grupp”, Vestnik SamGU – Estestvennonauchnaya seriya, 2009, no. 8(74), 67–76

[7] L.M. Belokon, “O peresecheniyakh maksimalnykh podgrupp konechnykh grupp, soderzhaschikh formatsionnye radikaly”, Problemy fiziki, matematiki i tekhniki, 2017, no. 3(32), 36–42

[8] L.M. Belokon, “O peresecheniyakh maksimalnykh podgrupp konechnykh grupp”, Problemy fiziki, matematiki i tekhniki, 2014, no. 4(21), 46–59

[9] B. Nuppert, N. Blackburn, Finite groups III, Springer-Verlag, Berlin–Heidelberg–New York, 1982, 454 pp. | MR

[10] K. Doerk, T. Hawkes, Finite soluble groups, Walter de Gruyter, Berlin–New York, 1992, 891 pp. | MR

[11] L.A. Shemetkov, A.N. Skiba, Formatsii algebraicheskikh sistem, Nauka, M., 1989, 256 pp.

[12] L.M. Belokon, “Normalnaya faktorizuemost subnormalnoi v konechnoi gruppe podgruppy v svyazi s lokalnymi formatsiyami i obobschennymi podgruppami Frattini. Formatsionnye radikaly”, Problemy fiziki, matematiki i tekhniki, 2017, no. 1(30), 25–36

[13] V.S. Monakhov, “Zamechaniya o maksimalnykh podgruppakh konechnykh grupp”, Doklady NAN Belarusi, 2003, no. 4(47), 31–33

[14] V.S. Monakhov, “Zamechanie o peresechenii nenormalnykh maksimalnykh podgrupp konechnykh grupp”, Izvestiya Gomelskogo gosudarstvennogo universiteta im. F. Skoriny, 2004, no. 6(27), 81

[15] A.F. Vasilev, T.I. Vasileva, A.V. Syrokvashin, “Zametka o peresecheniyakh maksimalnykh podgrupp konechnykh grupp”, Problemy fiziki, matematiki i tekhniki, 2012, no. 2(11), 62–64