Some New Applications of Weakly H-Embedded Subgroups of Finite Groups
نویسندگان
چکیده
منابع مشابه
finite groups whose minimal subgroups are weakly h*-subgroups
let $g$ be a finite group. a subgroup $h$ of $g$ is called an $mathcal h $ -subgroup in $g$ if $n_g (h)cap h^gleq h$ for all $gin g$. a subgroup $h$ of $g$ is called a weakly $mathcal h^ast $-subgroup in $g$ if there exists a subgroup $k$ of $g$ such that $g=hk$ and $hcap k$ is an $mathcal h$-subgroup in $g$. we investigate the structure of the finite group $g$ under the assump...
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.
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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 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 کاملfinite groups whose minimal subgroups are weakly $mathcal{h}^{ast}$-subgroups
let $g$ be a finite group. a subgroup $h$ of $g$ is called an $mathcal{h}$-subgroup in $g$ if $n_g(h)cap h^{g}leq h$ for all $gin g$. a subgroup $h$ of $g$ is called a weakly $mathcal{h}^{ast}$-subgroup in $g$ if there exists a subgroup $k$ of $g$ such that $g=hk$ and $hcap k$ is an $mathcal{h}$-subgroup in $g$. we investigate the structure of the finite group $g$ under the as...
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ژورنال
عنوان ژورنال: Mathematics
سال: 2019
ISSN: 2227-7390
DOI: 10.3390/math7020158