Geodesic
About the intersection of the maximal subgroups of finite groups
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2009), pp. 67-77

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The structure of normal subgroups in $\Theta $-frattini expansions is established in the given work. Local Fitting $\frak F$ formation contains all nilpotent groups. For this formations we show that in solvable group the intersection $\frak F$-abnormal maximal $\Theta$-subgroups, which don't contain $\frak F$-radical and don't belong to $\frak F$, coincides with the intersection $\frak F$-abnormal maximal $\Theta $-subgroups and belongs formation $\frak F$.
Mots-clés : group, local formation
Keywords: Fitting formation, $m$-functor, abnormal maximal subgroup. 
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     author = {M. V. Sel'kin and R. V. Borodich},
     title = {About the intersection of the maximal subgroups of finite groups},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {67--77},
     publisher = {mathdoc},
     number = {8},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2009_8_a6/}
}
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M. V. Sel'kin; R. V. Borodich. About the intersection of the maximal subgroups of finite groups. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2009), pp. 67-77. http://geodesic.mathdoc.fr/item/VSGU_2009_8_a6/