Sufficient and necessary conditions for supersolvable group;
超可解群的若干充要条件
A class of character graph of finite solvable groups;
关于可解群的一类特征标图
In this paper,the π normalizers of π soluble groups were discussed,some relationship between π normalizers and π abnormal subgroups was obtained,and some worthful results were produced.
研究了π－可解群的π－正规化子，揭示了π－可解群的π－正规化子与π－反常正规子群之间的相互关系，并由此得到了一系列有意义的结果。
In this paper,by using the supplemented subgroups,p-supersolubility of finite soluble groups has been studied.
利用可补充子群的性质研究了有限可解群的p-超可解性,特别地,给出了可解群G为p-超可解群的一个充分必要条件。
Sufficient and necessary conditions for supersolvable group;
超可解群的若干充要条件
Using the weakly c-normality of minimal subgroup of to characterize the structure of a finite group,some sufficient conditions of finite supersolvable group are obtained.
利用极小子群的弱c-正规性刻画了有限群的结构,得到了有限超可解群的若干充分条件;从群系理论出发,得到了包含超可解群类的饱和群系的充分条件,并推广了一些已知结果。
In this paper we prove:Let F be a saturated formation containing U,the class of all supersolvable groups and suppose that G is a group with a normal subgroup H such that G/H∈F.
本文证明了:设F是一个包含超可解群系U的饱和群系,G有一个正规子群H使得G/H∈F。
Given a p-solvable group G and an irreducible Brauer character χ of G with respect to the prime p.
给定一个p-可解群G以及G的一个关于该素数p的不可约B rauer特征标χ。
Using the properties of solvable groups and the basic theorems of finite groups,and utilizing the partly analytical method,the properties of some subgroups of p-solvable groups and the action on subgroups are studied.
利用可解群的性质和有限群的基本定理,通过局部分析方法研究了p-可解群中一些子群的性质及子群间的相互作用,并着重考察了Op′(G)=1的情况,得到了关于p-可解群的一些结论。
In this paper we research the basic property and the action on subgroup of solvable groups,in p-solvable groups we especially consider it in the case O_(P )(G) = 1 in p-solvable groups.
本文考察了可解群的基本性质及一些子群的相互作用，在p-可解群中，着重考察了当O_(p′)(G)=1时的情况。
General π-Frattini Subgroups of π-Solvable Group;
π-可解群的广义π-Frattini子群
The influence of c-normal subgroup on the structure of super solvable group
c-正规子群对超可解群结构的影响
On the Number of Equivalent Classes of Fuzzy Subgroups of a Finite Solvable Group
有限可解群的Fuzzy子群的阶数及其等价类数
Cayley Graphs of Small Valencies of Some Solvable Groups;
一些可解群的小度数Cayley图
The groups of the solvable equations are commutative.
可解方程的群都是交换群。
CI-Section and Solvability of Maximal Subgroups of Finite Groups;
极大子群的CI-截与有限群的可解性
The influence of conjugate-permutable subgroups on the solvability of finite groups;
共轭置换子群对有限群可解性的影响
SS-Quasinormal Subgoups and Solvability of Finite Groups
SS-拟正规子群与有限群的可解性
S-θ-Completions of the Maximal Subgroups and the Solvability of Finite Groups;
极大子群的S-θ-完备与有限群的可解性
The Influence of s-semipermutable Subgroups on the p-supersolvability of Finite Groups
s-半置换子群对有限群的p-超可解性的影响
On the s-θ-completions of maximal subgroups and the π-solvability of a finite group
有限群极大子群的s-θ-完备与π-可解性
Semi Cover-avoidance Properties of Subgroups and Solvability of Finite Groups
子群的半覆盖-远离性与有限群的可解性
a manner of speaking that is distinctive of a particular group of people.
特定人群可以理解的说话方式。
No-solvable Block-transitive Automorphism Group of 2-(v,11,1) Designs;
2-(v,11,1)设计的非可解区传递自同构群
High-Availability Solutions in Cluster Computing;
集群计算的高可用性解决方案(英文)
Common Transformation Groups and Soluble Types of Ordinary Differential Eguations;
常见变换群与常微分方程的可解类型
The Geometric Explanation For Orthogonality Of Irreducible Representation Of Finite Group;
有限群不可约表示正交性的几何解释
Classical simple groups and unolvable block-transitive 2-(v,7,1) designs
典型单群与非可解区传递2-(v,7,1)设计