Výsledky vyhledávání - "Aseeri, Fawaz"

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Criteria for supersolvability of saturated fusion systems

Let $p$ be a prime number. A saturated fusion system $\mathcal{F}$ on a finite $p$-group $S$ is said to be supersolvable if there is a series $1 = S_0 \le S_1 \le \dots \le S_m = S$ of subgroups of $S$ such that $S_i$ is strongly $\mathcal{F}$-closed

Externí odkaz: http://arxiv.org/abs/2305.09008

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A result on s-semipermutable subgroups of finite groups and some applications

Autor: Aseeri, Fawaz, Kaspczyk, Julian

Let $p$ be a prime number, $G$ be a $p$-solvable finite group and $P$ be a Sylow $p$-subgroup of $G$. We prove that $G$ is $p$-supersolvable if $N_G(P)$ is $p$-supersolvable and if there is a subgroup $H$ of $P$ with $P' \le H \le \Phi(P)$ such that

Externí odkaz: http://arxiv.org/abs/2208.10210

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