并且研究了未确知正规子群。
本文继续研究了群中的粗糙子群和粗正规子群。
In the paper, Rough subgroups and Rough normal subgroups in a group are further considered.
本文进一步讨论了交换环上辛群的正规子群的标准性问题。
The standardization question of the normal subgroups over commutative rings has been further discussed.
利用s—拟正规子群给出有限群有正规P—补的两个定理。
The two laws of normal P -complement for finite group have been put forward by analyzing S-quasi normal subgroups.
第三章主要研究有限群的正规子群外的共轭类的个数对群结构的影响。
In Chapter 3, we investigate how the number of conjugacy classes outside a normal subgroup of a finite group influences its structure.
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。
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.
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。
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.
运用基础代数中有关自同构、左平移、正规子群等理论，对群G的全形进行了简单的探讨，证明了几个有关的结论。
By using the theories in basic algebra about automorphism, left translation and normal subgroup, in the holomorph of G is discussed briefly, and several related conclusions are obtained.
代数群的连通正规闭子群与李代数的理想之间有很特殊的关系。
There are particular relations between the closed connected normal subgroups of algebraic groups and the ideals of Lie Algebras.
给出了所有准素子群的正规化子有素数幂指数的有限群的幂零长的界。
The bounds of nilpotent lengths of finite groups with normalizers of primary subgroups having prime power indices are obtained.
本文主要对几乎可换环上酉群的基本子群的正规性进行了研究。
This thesis mainly works on the normality of elementary subgroup of Unitary group over almost commutative rings.
最后讨论了向量值正规模糊子群与向量值模糊商群的性质，同时建立了向量值模糊商群的同构定理。
Some properties of VV normal fuzzy subgroup and VV fuzzy quotient group are discussed and the isomorphism theorem of VV fuzzy quotient group is established.
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。
By using the concept of almost normal about maximal subgroup, some sufficient and necessary conditions for a finite group to be solvable are obtained.
研究了每一非交换子群皆为次正规的有限非幂零群的结构。
In this paper, the finite non-nilpotent group with every non-abelian subgroup being subnormal is investigated.
在第一部分3.1中，给出了若干由交换子群的中心化子或正规化子满足的条件所确定的有限群的结构描述。
In the first section, namely 3.1, we obtained some description of the structure of some finite groups whose centralizers or normalizers of Abelian subgroups satisfy some conditions.
研究了已给准素子群的正规化子指数的有限群。
Finite groups with given indices of normalizers of primary subgroups are studied.
代数群的连通正规闭子群与李代数的理想之间有很特殊的关系。
Some algebraic groups are discussed by looking into the lattice of their closed connected normal subgroups.
这些子群中，人们特别关注那些正规的同余子群。
Especially, people pay much attention to those normal subgroup.
本文的主要目的是试图将子群所具有的数量性质与子群的广义正规性结合起来研究有限群的结构，希望能产生一些新的研究课题，获得一些新的结果。
Our main purpose in this thesis is try to combine the quantity property of groups and some kinds of generalizations of the normality of groups so that they can bring some new topics for us.
本文的主要目的是试图将子群所具有的数量性质与子群的广义正规性结合起来研究有限群的结构，希望能产生一些新的研究课题，获得一些新的结果。
Our main purpose in this thesis is try to combine the quantity property of groups and some kinds of generalizations of the normality of groups so that they can bring some new topics for us.
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