A note on intersections of some maximal subgroups of finite groups
Problemy fiziki, matematiki i tehniki, no. 2 (2012), pp. 62-64

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In the work V.S.Monahov's results that for any soluble non-nilpotent finite group $G$ its Frattini subgroup $\Phi(G)$ (subgroup $\Delta(G)$) coincides with intersection of all maximal (respectively all abnormal maximal) subgroups $M$ of group $G$ such that $MF(G) = G$, are extended on arbitrary finite groups.
Keywords: finite group, maximal subgroup, Frattini subgroup, Frattini $\theta$-subgroup, subgroup m-functor.
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     title = {A note on intersections of some maximal subgroups of finite groups},
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A. F. Vasil'ev; T. I. Vasilyeva; A. V. Syrokvashin. A note on intersections of some maximal subgroups of finite groups. Problemy fiziki, matematiki i tehniki, no. 2 (2012), pp. 62-64. http://geodesic.mathdoc.fr/item/PFMT_2012_2_a9/