Geodesic
Groups with Formation Subnormal $2$-Maximal Subgroups
Matematičeskie zametki, Tome 105 (2019) no. 2, pp. 269-277

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Groups with $\mathfrak X$-subnormal $2$-maximal subgroups are investigated for an arbitrary hereditary formation $\mathfrak X$. In such a group, all proper subgroups have nilpotent $\mathfrak X$-residuals. The cases in which $\mathfrak X=\mathfrak A_1\mathfrak F$ for some hereditary formation $\mathfrak F$ or $\mathfrak X$ is a solvable saturated formation are studied in more detail.
Keywords: finite group, residual, subnormal subgroup.
Mots-clés : formation 
@article{MZM_2019_105_2_a7,
     author = {V. S. Monakhov},
     title = {Groups with {Formation} {Subnormal} $2${-Maximal} {Subgroups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {269--277},
     publisher = {mathdoc},
     volume = {105},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_105_2_a7/}
}
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V. S. Monakhov. Groups with Formation Subnormal $2$-Maximal Subgroups. Matematičeskie zametki, Tome 105 (2019) no. 2, pp. 269-277. http://geodesic.mathdoc.fr/item/MZM_2019_105_2_a7/