On $NH$-embedded and $SS$-quasinormal subgroups of finite groups
نویسندگان
چکیده
Let $G$ be a finite group. A subgroup $H$ is called $S$-semipermutable in if $HG_p$ = $G_pH$ for any $G_p\in Syl_p(G)$ with $(|H|, p) 1$, where $p$ prime number divisible $|G|$. Furthermore, said to $NH$-embedded there exists normal $T$ of such that $HT$ Hall and $H \cap T \leq H_{\overline{s}G}$, $H_{\overline{s}G}$ the largest contained $H$, $SS$-quasinormal provided supplement $B$ permutes every Sylow $B$. In this paper, we obtain some criteria $p$-nilpotency Supersolvability group extend known results concerning subgroups.
منابع مشابه
finite groups with some ss-embedded subgroups
we call $h$ an $ss$-embedded subgroup of $g$ if there exists a normal subgroup $t$ of $g$ such that $ht$ is subnormal in $g$ and $hcap tleq h_{sg}$, where $h_{sg}$ is the maximal $s$-permutable subgroup of $g$ contained in $h$. in this paper, we investigate the influence of some $ss$-embedded subgroups on the structure of a finite group $g$. some new results were obtained.
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ژورنال
عنوان ژورنال: International Electronic Journal of Algebra
سال: 2023
ISSN: ['1306-6048']
DOI: https://doi.org/10.24330/ieja.1299719