Finite groups with completely conditional permutable minimal subgroups;
极小子群在有限群的研究中占据着重要的地位。
The minimal subgroups play an important role during the study of finite groups.
极小子群在有限群的研究中占据着重要的地位。
Finite groups with given indices of normalizers of primary subgroups are studied.
研究了已给准素子群的正规化子指数的有限群。
This paper studies problem of the average length of conjugacy classes of finite groups.
摘要本文研究有限群元素共轭类的平均长度问题。
This paper studies problem of the average length of conjugacy classes of finite groups.
本文研究有限群元素共轭类的平均长度问题。
Finite Field, Theory of Finite Groups, Chaos Theory, Coding, Digital Watermarking, Cryptography.
有限域，有限群论，混沌理论，编码，数字水印，密码学。
Two new theorems on the solvability of finite groups are proved by means of index complex of maximal subgroups.
建立了以有限群的极大子群的指数复合刻划可解性的两个新定理。
The theory has evolved to describe the relationship between finite groups, modular forms and vertex operator algebras.
理论已经逐步形成描述在有限群，标准化的形式和顶点算符代数之间的关系。
It is an important subject to study the influence on the structure of finite groups by their quantitative relationship.
考虑群的数量关系对有限群结构的影响是有限群论中一个重要课题。
One of the important problems in the theory of finite groups is to study the effect of nilpotency on the finite groups.
对于有限群的幂零性的研究已受到很多群论专家的关注。
The bounds of nilpotent lengths of finite groups with normalizers of primary subgroups having prime power indices are obtained.
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 existence of blocks of defect 0 for some special classes of finite groups is determined. A proof of another form of G Robinson's theorem is given too.
确定了某些特殊群亏零块的存在性，并用另一种方法证明了Robinson关于块的存在性定理。
The purpose of this paper is to generalize two supersolvability theorems obtained by LI De-yu and GUO Xiu-yun with respect to complemented subgroups of finite groups.
该文目的是推广由李德玉和郭秀云得到的有关可补子群的两个超可解性定理。
In the last section, namely 3.4, we mainly discuss how Abelian subgroups influent the solvability of finite groups, so we obtain some sufficient conditions of solvable groups.
本文第四部分3.4，主要讨论了交换子群对有限群可解性的影响，得到了有限群可解的若干充分条件。
The finite inner-(2,2')-closed groups were classified and this class of finite groups with every non-maximal proper subgroup of even order of(2,2')-closed were also classified.
本文首先分类了内-（2，2＇）-闭群，再对每个非极大偶阶真子群为（2，2＇）-闭的不可解群进行了分类。
The project under research mainly focus on the different conditions of normality and the permutation of groups and use the normality to determine the structure of finite groups.
课题主要研究有限群的正规性条件及其对于有限群结构的确定和有限群的共轭类的长度对群结构的影响。
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.
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。
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。
Indeed, some research groups have posited that the mother's finite reproductive capability is the result of accumulating these damaged and toxic compounds.
事实上，有研究小组断定过，母细胞的生殖能力之所以有限，是受毁损与有毒物质累积的结果。
To study the structure of isotropy subgroups is an important problem in geometry of classical groups over finite fields.
研究迷向子群的结构是有限域上典型群几何中的一个重要问题。
As a class of finite reflection groups and different from finite real reflection groups, finite complex reflection groups are studied by more and more people in recent years.
复反射群作为与实反射群不同的一类反射群，近年来得到了人们越来越多的研究。
Thus, nodal code of Finite Element Method can be parallelized and operated in the connecting point of different groups of PVM.
因此，有限元节点代码可以被并行化、并能在基于不同的PV M机群结点上运行。
It introduces notions of composite attribute expression and composite permission, defines different multiple role groups and makes a finite set of rules to assign user to roles.
该模型引入复合属性表达式和复合权限的概念，制定授权约束规则，为用户分配多组角色。
In Chapter 2, we investigate the longest elements and the corresponding special automorphism of finite reflection groups.
第二章，主要研究有限反射群的最长元以及和最长元相对应的有限反射群的自同构。
In Chapter 4, we focus on the structure of the rational invariant fields of the maximal subgroups and root subgroups of finite classical groups.
第四章在有限典型群的极大子群和根子群的有理不变式域方面做了一些讨论。
This paper describes a pile groups-soil-pile cap interaction model in the lateral loading and proposes a finite layer-finite element analysis for the single pile and groups pile.
本文研究了水平荷载下桩—土—承台共同作用的问题，对单桩和群桩分别进行了有限层—有限元分析。
This paper describes a pile groups-soil-pile cap interaction model in the lateral loading and proposes a finite layer-finite element analysis for the single pile and groups pile.
本文研究了水平荷载下桩—土—承台共同作用的问题，对单桩和群桩分别进行了有限层—有限元分析。
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