normal subgroup

Four property theorems of normal subgroup

正规子群的四个性质定理

The Normal Subgroup of Symplectic Groups over a Class of Commutative Rings

一类交换环上辛群的正规子群

The Upper and Lower Approximations Based on a Fuzzy Normal Subgroup

基于模糊不变子群的上、下近似

A General Discussion of the Relationship between Congruence and Normal Subgroup

浅谈同余与不变子群的关系

Dynamic Fuzzy Normal Subgroup

动态模糊正规子群

The concept of the induced quotient set determined by an intuitionistic fussy group on its normal subgroup was introduced .

引入直觉模糊群关于它的正规子群的诱导商集的概念；

The proposition 3 and examples indicated the differences and relations between the normal subgroup on a group G and a Fuzzy group .

本文讨论了它的几个性质，其中命题3及例指出了它与群G的正规Fuzzy子群两者之间的区别与联系。

For certain finite group with a perfect normal subgroup , this paper discusses the problem of its augmentation ideals and quotient groups .

本文研究了一类具有完全正规子群的有限群之增广理想及增广商群结构的问题。

In this paper , we study the condition which makes the fundamental group of graph have every positive integer as the index of some normal subgroup .

本文主要研究图的基本群的正规子群的指数何时成为任意正整数的条件。

Fuzzy Subgroup and Quasi-Fuzzy Normal Subgroup

Fuzzy子群和拟Fuzzy正规子群

The T_D-disturbing-valued Fuzzy Normal Subgroup

TD型扰动值模糊正规子群

This paper deals with finite determination of equivariant bifurcation problems with multiparameter under the normal subgroup D r (Γ) of the equivalent group D (Γ) .

在D（Γ）的子群Dr（Γ）所规定的等价关系下讨论了等变分歧问题的有限决定性。

The sufficient condition for finite group to be supersolvable and nilpotent is presented in the paper , by using the effect of S_ semi normal subgroup on finite group structure

利用S半正规子群对有限群结构的影响，给出了有限群为超可解和幂零的充分条件

Starting from the definition of almost normal subgroup , the author gives some interesting results about almost normal subgroups and the sufficient conditions for a finite group to be solvable .

利用几乎正规的定义对有限群G作了一些研究，得到了几乎正规子群的一些性质，并给出了有限群为可解群的几个充分条件。

Furthermore , when the normal subgroup is the idendity group , the basis of the first space is just as the set of irreducible Brauer characters .

进一步，当正规子群为单位元群时，前面一个空间的基就是不可约Brauer特征标的集合。

This article proves that in the homomorphism of G onto ■, the inverse image of a maximal normal subgroup in ■ is also a maximal normal subgroup in G.

本文得到了在同态满射下，极大正规子群的逆象也是极大正规子群，并给出了极大正规子群的象也是极大正规子群的一些等价条件。

In this paper , based on the relation between normal subgroup and congruence , another depiction of normal series power semigroup is given from the angles of congruence by the method of analogy .

首先在正规子群与同余的关系的基础上，采用类比的方法，从同余的角度给出了群的正规列幂半群的另一种刻画。

By using algebra of fixed point class to determine the component factors and properties of normal subgroup H of the fundamental group of the covering space , the paper studies the relation of fixed point class with fixed point class H.

本文利用不动点类的代数化，决定复迭空间的基本群的正规子群H的构成因素及其性质，研究不动点类与H不动点类的关系。

When all sylow subgroups about G is m-normal subgroups , there is not any sylow subgroups which is normal subgroup , G is not a solvable group .

G的子群全都是m正规的，且没有子群在G中正规，则G不可解。

In combination of the concepts of semi normal subgroup and C normal subgroup , it is proved that G is supersolvable if the maximal subgroup of each Sylow subgroup of G is semi normal or C normal in G.

把半正规与C-正规结合起来，证明若群G的每个Sylow子群的极大子群在G中或半正规或C-正规，则G超可解。

Let F be a saturated formation containing U.Suppose that G is group with a solvable normal subgroup N such that G / N ∈ F. If every maximal subgroup of Sylow subgroups of N is completely c-permutable in G , then G ∈ F.

设F是包含超可解群系U的饱和群系，N是群G的可解的正规子群且G/N∈F，如果N的每个Sylow子群的极大子群在G中完全条件置换，则G∈F。

This paper introduces the relationship between equivalence relation and subgroup , and from this equivalence law between congruence and normal subgroup can be deduced , The aim of this paper is to get a deeper understanding of equivalence relation , congruence , subgroup , normal subgroup and quotient group .

介绍了等价关系与子群的关系，并由此推导出同余关系与不变子群的等价定理，从而进一步加深对等价关系、同余关系、子群、不变子群以及商群的理解。

A Note of Normal Fuzzy Subgroup on Fuzzy Group

关子Fuzzy群上的正规Fuzzy子群的一个注记

This paper studies the structure of normal cyclic subgroup of a finite direct prod-uct .

本文讨论了有限直积的正规循环子群的构造。

Compared with control subjects about volumeter indices , patients in normal LVMI subgroup had significantly increased left ventricular volume , but there was no difference between control group and left ventricular hypertrophy subgroup .

与对照组左室容量指标比较，高血压LVMI正常组左室容量负荷增大，而高血压左室肥厚组无显著差异。

The author discusses the commutator subgroup P ′ of the normal Sylow subgroup P of a minimal non-nilpotent group and determine a set of generate elements of the commutator subgroup P ′ .

讨论了极小非幂零群的正规Sylow子群P的换位子群P′，确定了换位子群P′的一个生成元集。

Cartain Conclusion of the Normal Index of subgroup of a Finite Group

有限群子群正规指数的若干结论

By using the concept of almost normal about maximal subgroup , some sufficient and necessary conditions for a finite group to be solvable are obtained .

利用极大子群的几乎正规的概念得到了有限群为可解群的若干充要条件。

The equivalent definition of α - fuzz y subgroup and definition of normal α - fuzzy subgroup are also given ,α - fuzzy factor group and homomorphic image properties are studied .

我们还给出了α-fuzzy子群的等价定义，给出了正规α-fuzzy子群的定义，研究了α-fuzzy商群及α-fuzzy子群的同态象性质。

Group G is called a π - closed-Sylow-tower group if there exists a normal Hall π - subgroup in G , which is a Sylow-tower group .

称群G为π-闭-Sylow塔群，若群G存在正规Hallπ-子群为Sylow塔群。