On S*-embedded subgroups of finite groups
نویسندگان
چکیده
We introduce a new subgroup embedding property, namely S*-embedded and study the structure of finite group G under assumption that some subgroups prime order are in G. A serie known results unified extended.
منابع مشابه
partially $s$-embedded minimal subgroups of finite groups
suppose that $h$ is a subgroup of $g$, then $h$ is said to be $s$-permutable in $g$, if $h$ permutes with every sylow subgroup of $g$. if $hp=ph$ hold for every sylow subgroup $p$ of $g$ with $(|p|, |h|)=1$), then $h$ is called an $s$-semipermutable subgroup of $g$. in this paper, we say that $h$ is partially $s$-embedded in $g$ if $g$ has a normal subgroup $t$ such that $ht...
متن کاملOn weakly $mathfrak{F}_{s}$-quasinormal subgroups of finite groups
Let $mathfrak{F}$ be a formation and $G$ a finite group. A subgroup $H$ of $G$ is said to be weakly $mathfrak{F}_{s}$-quasinormal in $G$ if $G$ has an $S$-quasinormal subgroup $T$ such that $HT$ is $S$-quasinormal in $G$ and $(Hcap T)H_{G}/H_{G}leq Z_{mathfrak{F}}(G/H_{G})$, where $Z_{mathfrak{F}}(G/H_{G})$ denotes the $mathfrak{F}$-hypercenter of $G/H_{G}$. In this paper, we study the structur...
متن کاملpartially s-embedded minimal subgroups of finite groups
suppose that $h$ is a subgroup of $g$, then $h$ is said to be $s$-permutable in $g$, if $h$ permutes with every sylow subgroup of $g$. if $hp=ph$ hold for every sylow subgroup $p$ of $g$ with $(|p|, |h|)=1$), then $h$ is called an $s$-semipermutable subgroup of $g$. in this paper, we say that $h$ is partially $s$-embedded in $g$ if $g$ has a normal subgroup $t$ such that $ht...
متن کاملfinite 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.
متن کاملThe influence of S-embedded subgroups on the structure of finite groups
Let H be a subgroup of a group G. H is said to be S-embedded in G if G has a normal T such that HT is an S-permutable subgroup of G and H ∩ T ≤ H sG, where H denotes the subgroup generated by all those subgroups of H which are S-permutable in G. In this paper, we investigate the influence of minimal S-embedded subgroups on the structure of finite groups. We determine the structure the finite grou...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2021
ISSN: ['1532-4125', '0092-7872']
DOI: https://doi.org/10.1080/00927872.2021.1986056