In Chapter 5, we study how the co-primeness of element orders of a finite group influences its structure.
第五章主要研究有限群中元素的阶的互素性对群结构的影响。
In this paper, we assume G is a finite group and its modular character degree graph has two connected components.
本文假设G为一有限群且G的模特征标度图有两个连通分支。
The two laws of normal P -complement for finite group have been put forward by analyzing S-quasi normal subgroups.
利用s—拟正规子群给出有限群有正规P—补的两个定理。
To investigate how element orders influence the structure of a finite group is an important subject in group theory.
元素的阶是有限群中重要的算术量，它深刻地反映了有限群的整体性质。
The supersolvablity and nilpotency of the finite group G are characterized using the concept of cover-avoiding subgroups.
利用覆盖-远离子群的概念研究了群的超可解性和幂零性。
The transitivity of a finite group on the conjugates of some minimal subgroups influences or determines the structure of the group.
有限群在某个极小子群共轭类上的某种传递性影响或决定群的构造。
This paper contains three chapters. It centres on the influence of ci-section of maximal subgroup on the structure of finite group.
全文共分为三章，主要是围绕有限群的极大子群的CI -截对群结构的影响这一重要课题进行讨论的。
In Chapter 3, we investigate how the number of conjugacy classes outside a normal subgroup of a finite group influences its structure.
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。
Moonshine forms a way of explaining the mysterious connection between the monster finite group and modular functions from classical number theory.
空谈形成一种从经典数论解释在怪物有限群和模函数之间的神秘的连接的方式。
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。
In Chapter 2, we investigate how the number of conjugacy classes of elements outside the center with the same order of a finite group influences its structure.
第二章主要研究有限群的中心外的同阶元的共轭类个数对群结构的影响。
This paper advocates a new approach to the theory of finite group representations by applying exclusively the method of commuting operators in quantum mechanics.
本文介绍一种完全用量子力学中对易算符集方法处理的有限群表示论。
In the implementation of elliptic curve cryptosystem, one of the key steps is to design and implement the base-point choice algorithm of elliptic curve finite group.
实现椭圆曲线密码体制还有一个关键的步骤，就是椭圆曲线有限群基点选取算法的设计与实现。
We can get the size of same order elements if we put some different conjugacy classes with the same order elements together, then we will get order equation of a finite group.
如果先把互不共轭的同阶元的共轭类长合并得到同阶类长，再把同阶类长相加就得到了阶方程。
Group Explorer is mathematical visualization software for the abstract algebra classroom. Users can explore dozens of finite groups (and morphisms among them) visually and interactively.
这是一个数学的形象化软件用于抽象代数课堂。用户可以交互直观的探究很多的有限组。
In this paper, some results on the superfluous subgroups of a finitely-generated infinite soluble group are obtained, which are the generalizations of the corresponding results of a finite group.
本文得到了有限生成的无限可解群的多余子群的一些结果，它们是有限群的某些相应结果的推广。
The force of a person is finite, and a good group is inapproachable, what target does that still have to cannot come true?
一个人的力量是有限的，而一个好的团队是无敌的，那还有什么目标不能实现呢？
First, we give the definition of Lie color superalgebras using the symmetric bicharacter on a finite commutative group, and also we introduce some fundamental notions about Lie color superalgebras.
首先根据有限交换群上对称双特征标的概念，给出着色李超代数的定义，并介绍关于着色李超代数的一些基本概念与基础知识。
In this paper, the three dimensional elastoplastic analysis of a group pile soil interaction system is made by using the finite prism element method.
应用有限棱柱单元法对群桩与土相互作用系统进行了三维弹塑性分析，并以无限棱柱元模拟半无限空间地基土的边界条件。
This paper, firstly introduces the elliptic curve in finite field and algebraic law of its point group, gives the order of the group.
该文首先介绍有限域上定义的椭圆曲线及点群运算规则，给出椭圆曲线点群的阶。
In addition, since management of a project is a finite effort, the Initiating Process Group starts these cycles and the Closing Process Group ends them.
此外，因为一个项目的管理是一种有限的努力，所以启动过程组是这些循环的开始，而收尾过程组是其结束。
Thirdly, the bearing and deformation characteristics of single and group piles are investigated by means of axisymmetric finite element analysis (FEA) and three-dimensional FEA.
再次，运用二维轴对称有限元法以及三维有限元法，系统分析了挤扩支盘桩单桩和群桩的承载变形性状。
In this paper, the finite non-nilpotent group with every non-abelian subgroup being subnormal is investigated.
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 are given some of sufficient conditions for finite determinacy relative to right equivalent group of smooth function-germs to be preserved under the operation of function germs.
给出了关于右等价群有限决定的光滑函数芽在函数芽运算下仍保持有限决定的一些充分条件。
In this paper, we carry out a research into the special case, that is the finite determinacy of smooth function germs under various subgroups of right equivalent group.
本文对光滑函数芽在右等价群的各种子群下的有限决定性展开了研究，对光滑函数芽在函数芽运算下关于右等价群的有限决定性也进行了讨论。
This paper has made some discussions on the finite commutative semigroup. The relationship between the finite commutative semigroup and the finite commutative group is established.
对有限可换半群进行了讨论，建立了有限可换半群与有限可换群之间的关系。
A found method of the standard vector group in a finite generating fuzzy vector subspace is given in this paper.
给出求有限生成模糊向量子空间中标准向量组的方法。
This method not only can simplify the original proof, stress its intrinsic quality but also get the new conclusion for the finite simple group.
用这种方法，不但简化了证明过程，突出了问题的本质，还可以得出有限单群的新结论。
Because the optimizing selection among the finite mining methods has great economic and social effects, decision making under decision group is necessary to be carried out.
有限开采方案优选决策后果影响深远，需组成决策群进行决策。
Because the optimizing selection among the finite mining methods has great economic and social effects, decision making under decision group is necessary to be carried out.
有限开采方案优选决策后果影响深远，需组成决策群进行决策。
应用推荐