Finite p–nilpotent groups with some subgroups c–supplemented
نویسندگان
چکیده
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.
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 $H$, $L$ and $X$ be subgroups of a finite group$G$. Then $H$ is said to be $X$-permutable with $L$ if for some$xin X$ we have $AL^{x}=L^{x}A$. We say that $H$ is emph{$X$-quasipermutable } (emph{$X_{S}$-quasipermutable}, respectively) in $G$ provided $G$ has a subgroup$B$ such that $G=N_{G}(H)B$ and $H$ $X$-permutes with $B$ and with all subgroups (with all Sylowsubgroups, respectively) $...
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Abstract. A subgroup H of a group G is said to be SS-embedded in G if there exists a normal subgroup T of G such that HT is subnormal in G and H T H sG , where H sG is the maximal s- permutable subgroup of G contained in H. We say that a subgroup H is an SS-normal subgroup in G if there exists a normal subgroup T of G such that G = HT and H T H SS , where H SS is an SS-embedded subgroup of ...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 2005
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788700008624