نتایج جستجو برای: ss normal subgroup
تعداد نتایج: 656820 فیلتر نتایج به سال:
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 ...
a subgroup $h$ is said to be $s$-permutable in a group $g$, if $hp=ph$ holds for every sylow subgroup $p$ of $g$. if there exists a subgroup $b$ of $g$ such that $hb=g$ and $h$ permutes with every sylow subgroup of $b$, then $h$ is said to be $ss$-quasinormal in $g$. in this paper, we say that $h$ is a weakly $ss$-quasinormal subgroup of $g$, if there is a normal subgroup ...
a subgroup $h$ is said to be $s$-permutable in a group $g$, if $hp=ph$ holds for every sylow subgroup $p$ of $g$. if there exists a subgroup $b$ of $g$ such that $hb=g$ and $h$ permutes with every sylow subgroup of $b$, then $h$ is said to be $ss$-quasinormal in $g$. in this paper, we say that $h$ is a weakly $ss$-quasinormal subgroup of $g$, if there is a normal subgroup ...
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.
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.
Let H be a subgroup of a finite group G. We say that H is SS-semipermutable in Gif H has a supplement K in G such that H permutes with every Sylow subgroup X of Kwith (jXj; jHj) = 1. In this paper, the Structure of SS-semipermutable subgroups, and finitegroups in which SS-semipermutability is a transitive relation are described. It is shown thata finite solvable group G is a PST-group if and on...
in this paper, we extend the construction of a fuzzy subgroup generated by a fuzzy subset to $l$-setting. this construction is illustrated by an example. we also prove that for an $l$-subset of a group, the subgroup generated by its level subset is the level subset of the subgroup generated by that $l$-subset provided the given $l$-subset possesses sup-property.
a subgroup $h$ is said to be $nc$-supplemented in a group $g$ if there exists a subgroup $kleq g$ such that $hklhd g$ and $hcap k$ is contained in $h_{g}$, the core of $h$ in $g$. we characterize the supersolubility of finite groups $g$ with that every maximal subgroup of the sylow subgroups is $nc$-supplemented in $g$.
A subgroup H is said to be s-permutable in a group G, if HP = PH holds for every Sylow subgroup P of G. If there exists a subgroup B of G such that HB = G and H permutes with every Sylow subgroup of B, then H is said to be SS-quasinormal in G. In this paper, we say that H is a weakly SS-quasinormal subgroup of G, if there is a normal subgroup T of G such that HT is s-permutable and H ∩ T is SS-...
Let $tilde{F}=(Q,S,tilde{R},Z,omega,tilde{delta}, F_1,F_2)$ be a general fuzzy automaton and the set of its states be a group. The aim of this paper is the study of applications of a group in a general fuzzy automaton. For this purpose, we define the concepts of fuzzy normal kernel of a general fuzzy automaton, fuzzy kernel of a general fuzzy automaton, adjustable, multip...
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