On S-quasinormally embedded subgroups of finite groups
نویسندگان
چکیده
منابع مشابه
Finite group with c-normal or s-quasinormally embedded subgroups
If P is a p-group for some prime p we shall write M (P ) to denote the set of all maximal subgroups of P and Md(P ) = {P1, ..., Pd} to denote any set of maximal subgroups of P such that ∩d i=1 Pi = Φ(P ) and d is as small as possible. In this paper, the structure of a finite group G under some assumptions on the c-normal or s-quasinormally embedded subgroups in Md(P ), for each prime p, and Syl...
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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...
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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...
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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...
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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: Journal of Pure and Applied Algebra
سال: 2001
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(00)00183-3