Geodesic
On finite groups in which every subgroup is either $\mathfrak{F}$-subnormal or $\mathfrak{F}$-abnormal
Problemy fiziki, matematiki i tehniki, no. 2 (2015), pp. 72-74

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The structure of finite groups in which every proper subgroup is either $\mathfrak{F}$-subnormal or $\mathfrak{F}$-abnormal, where $\mathfrak{F}$ is a saturated hereditary formation with the Shemetkov property containing all nilpotent groups is studied. In particular, descriptions of these groups in the cases when $\mathfrak{F}$ is either the formation of all $p$-nilpotent groups or all $p$-decomposable groups were obtained.
Keywords: finite group, $\mathfrak{F}$-subnormal subgroup, $\mathfrak{F}$-abnormal subgroup, saturated formation, formation with the Shemetkov property. 
@article{PFMT_2015_2_a11,
     author = {V. N. Semenchuk and A. N. Skiba},
     title = {On finite groups in which every subgroup is either $\mathfrak{F}$-subnormal or $\mathfrak{F}$-abnormal},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {72--74},
     publisher = {mathdoc},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2015_2_a11/}
}
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V. N. Semenchuk; A. N. Skiba. On finite groups in which every subgroup is either $\mathfrak{F}$-subnormal or $\mathfrak{F}$-abnormal. Problemy fiziki, matematiki i tehniki, no. 2 (2015), pp. 72-74. http://geodesic.mathdoc.fr/item/PFMT_2015_2_a11/