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- W4378085650 abstract "Let $G$ be a finite group. A subgroup $H$ is called $S$-semipermutable in $G$ if $HG_p$ = $G_pH$ for any $G_pin Syl_p(G)$ with $(|H|, p) = 1$, where $p$ is a prime number divisible $|G|$. Furthermore, $H$ is said to be $NH$-embedded in $G$ if there exists a normal subgroup $T$ of $G$ such that $HT$ is a Hall subgroup of $G$ and $H cap T leq H_{overline{s}G}$, where $H_{overline{s}G}$ is the largest $S$-semipermutable subgroup of $G$ contained in $H$, and $H$ is said to be $SS$-quasinormal in $G$ provided there is a supplement $B$ of $H$ to $G$ such that $H$ permutes with every Sylow subgroup of $B$. In this paper, we obtain some criteria for $p$-nilpotency and Supersolvability of a finite group and extend some known results concerning $NH$-embedded and $SS$-quasinormal subgroups." @default.
- W4378085650 created "2023-05-25" @default.
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- W4378085650 date "2023-05-24" @default.
- W4378085650 modified "2023-09-30" @default.
- W4378085650 title "On $NH$-embedded and $SS$-quasinormal subgroups of finite groups" @default.
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- W4378085650 doi "https://doi.org/10.24330/ieja.1299719" @default.
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