Geodesic
Finite groups with absolutely formationally subnormal Sylow subgroups
Problemy fiziki, matematiki i tehniki, no. 4 (2019), pp. 44-50.

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Let $\mathfrak{F}$ be a nonempty formation groups. A subgroup $H$ of a group $G$ we call absolutely $\mathrm{K}$-$\mathfrak{F}$-subnormal (absolutely $\mathfrak{F}$-subnormal) in $G$ if any subgroup containing $H$ is $\mathrm{K}$-$\mathfrak{F}$-subnormal (respectively $\mathfrak{F}$-subnormal) subgroup of $G$. In this paper, the question of whether a finite group belongs to a saturated formation $\mathfrak{F}$ in which all Sylow subgroups are absolutely $\mathrm{K}$-$\mathfrak{F}$-subnormal is investigated.
Keywords: finite group, Sylow subgroup, hereditary saturated formation, $\mathrm{K}$-$\mathfrak{F}$-subnormal subgroup, absolutely $\mathrm{K}$-$\mathfrak{F}$-subnormal subgroup. 
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A. F. Vasil'ev; A. G. Melchenko. Finite groups with absolutely formationally subnormal Sylow subgroups. Problemy fiziki, matematiki i tehniki, no. 4 (2019), pp. 44-50. http://geodesic.mathdoc.fr/item/PFMT_2019_4_a8/

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