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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

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