Geodesic
On the Normality of $\mathfrak F^{\omega}$-Abnormal Maximal Subgroups of Finite Groups
Matematičeskie zametki, Tome 108 (2020) no. 3, pp. 428-440

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In the paper, the notion of an $\mathfrak F^{\omega}$-abnormal (and $\mathfrak F^{\omega}$-normal) maximal subgroup of a finite group is introduced, where $\mathfrak F$ is a nonempty class of groups and $\omega$ is a nonempty set of primes. The relationship between the $\mathfrak F^{\omega}$-abnormal maximal and normal subgroups is studied. Conditions are established under which $\mathfrak F^{\omega}$-abnormal maximal subgroups in a finite group are normal.
Keywords: finite group, $\mathfrak F^{\omega}$-abnormal maximal subgroup, normal subgroup, class of groups
Mots-clés : formation. 
@article{MZM_2020_108_3_a7,
     author = {M. M. Sorokina and S. P. Maksakov},
     title = {On the {Normality} of $\mathfrak F^{\omega}${-Abnormal} {Maximal} {Subgroups} of {Finite} {Groups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {428--440},
     publisher = {mathdoc},
     volume = {108},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_108_3_a7/}
}
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M. M. Sorokina; S. P. Maksakov. On the Normality of $\mathfrak F^{\omega}$-Abnormal Maximal Subgroups of Finite Groups. Matematičeskie zametki, Tome 108 (2020) no. 3, pp. 428-440. http://geodesic.mathdoc.fr/item/MZM_2020_108_3_a7/