Finite groups with strongly $\mathrm{K}$-$\mathfrak{F}$-subnormal Sylow subgroups

A. F. Vasil'ev

Problemy fiziki, matematiki i tehniki, no. 4 (2018), pp. 66-71.

Résumé

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 $\mathfrak{F}$.

Détail

Keywords: finite group, Sylow subgroup, $\mathrm{K}$-$\mathfrak{F}$-subnormal subgroup.
Mots-clés : formation

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