Geodesic
On the intersections of the maximal $\theta_\pi$-subgroups of finite groups and a subgroup $\mathfrak{F}$-abnormally $\pi'$-full $m$-functor
Problemy fiziki, matematiki i tehniki, no. 4 (2015), pp. 50-58

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Conditions under which for a finite group $G$, a non-empty radical (radical local) formation $\mathfrak{F}$ and a subgroup $m$-functor $\theta$ $\Phi_{\theta_\pi,\overline{G_{\mathfrak{F}}}}(G)=\Phi_{\theta_\pi}(G)\ne G$, $\pi$ — a set of primes, are investigated. The results include, as a consequence, statements on the intersections of the corresponding maximal $\theta$-subgroups without restrictions on their indexes.
Keywords: formations of finite groups, $\mathfrak{F}$-radicals , intersections of maximal $\theta_\pi$-subgroups, subgroup $\mathfrak{F}$-abnormally $\pi'$-full $m$-functor. 
@article{PFMT_2015_4_a9,
     author = {L. M. Belokon},
     title = {On the intersections of the maximal $\theta_\pi$-subgroups of finite groups and a subgroup $\mathfrak{F}$-abnormally $\pi'$-full $m$-functor},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {50--58},
     publisher = {mathdoc},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2015_4_a9/}
}
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L. M. Belokon. On the intersections of the maximal $\theta_\pi$-subgroups of finite groups and a subgroup $\mathfrak{F}$-abnormally $\pi'$-full $m$-functor. Problemy fiziki, matematiki i tehniki, no. 4 (2015), pp. 50-58. http://geodesic.mathdoc.fr/item/PFMT_2015_4_a9/