Geodesic
Finite groups with strongly $\mathrm{K}$-$\mathfrak{F}$-subnormal Sylow subgroups
Problemy fiziki, matematiki i tehniki, no. 4 (2018), pp. 66-71

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Let $\mathfrak{F}$ be a nonempty formation of groups. We call a subgroup $H$ of the group $G$ strongly $\mathrm{K}$-$\mathfrak{F}$-subnormal in $G$, if $N_G(H)$ is a $\mathfrak{F}$-subnormal subgroup in $G$. In this paper we study the question of belonging a finite group in which all Sylow subgroups of strongly $\mathrm{K}$-$\mathfrak{F}$ subnormal, to saturated formation $\mathfrak{F}$.
Keywords: finite group, Sylow subgroup, $\mathrm{K}$-$\mathfrak{F}$-subnormal subgroup.
Mots-clés : formation 
@article{PFMT_2018_4_a11,
     author = {A. F. Vasil'ev},
     title = {Finite groups with strongly $\mathrm{K}$-$\mathfrak{F}$-subnormal {Sylow} subgroups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {66--71},
     publisher = {mathdoc},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2018_4_a11/}
}
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A. F. Vasil'ev. Finite groups with strongly $\mathrm{K}$-$\mathfrak{F}$-subnormal Sylow subgroups. Problemy fiziki, matematiki i tehniki, no. 4 (2018), pp. 66-71. http://geodesic.mathdoc.fr/item/PFMT_2018_4_a11/