共轭类

设G为一有限群，x为元素x所属共轭类的长度。

Let G be a finite group , | x | be the length of conjugacy clas containing x.

每个Monolithic特征标至多零化两个共轭类的有限群

Finite Groups Whose Monolithic Characters Vanish on at Most Two Conjugacy Classes

如果有限群G在它的某个极小子群共轭类上二重传递，G是某些特殊的群的扩张；

If a finite group G acts 2-transitively on the conjugates of some minimal subgroups , G is an extension of some special groups .

本文通过讨论除环D上的n次多项式f（x）的既约分解，证明了f（x）的所有左、右零点至多分布于D内n个共轭类中。

In this paper , we discuss the irreducible factorizations of the polynomia f ( x ) of degree n over a division ring D and prove that all the left and right zeros of f ( x ) belong to at most distribution n conjugacy classes of D.

第二部分，我们建立了非交换有限p-群G与其共轭类个数之间的关系，并且得到了较小阶的p-群G与其共轭类个数之间一种更简洁的相互决定关系。

The second part : We study the connection between a non-abelian finite p-group G and the number of conjugacy class of it . We also find some more concise relationships between the minor order of a non-abelian finite p-group G and the number of conjugacy class of it .

Arad和Blau在1991年从有限群的不可约特征标和共轭类的积的分解中抽象出表代数的概念，它是一类满足特定条件的定义在复数域上的有限维交换结合代数。

Arad and Blau abstracted the concept of table algebras , which are a class of finite dimensional , associative and commutative algebras over the complex numbers with certain specified properties , from the decompositions of products of either irreducible characters or conjugacy classes of finite groups .

共轭类的长和有限群的结构

The Length of Conjugacy Classes and the Structure of Finite Groups

只有两个极大子群共轭类的群

The conjugate class groups of the unique two maximal subgroups

幂零群中非正规循环子群的共轭类数

The Number of Conjugacy Classes of Nonnormal Cyclic Subgroups in Nilpotent Groups

关于有限幂零群共轭类数的一个注记

A Note on the Number of Conjugacy Classes in a Finite Nilpotent Group

关于群的阶与群的共轭类数的商

On the Quotient of the Group Order and the Number of Conjugacy Classes

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 .

恰有4个非循环子群共轭类的有限幂零群

Finite nilpotent groups with four non-cyclic subgroups

非正规子群的共轭类类数为3的p~aq~br~c阶群

Groups of order p ~ aq ~ br ~ c having exactly three conjugacy classes of non-normal subgroups

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。

The transitivity of a finite group on the conjugates of some minimal subgroups influences or determines the structure of the group .

本文以共轭类投影代替正交投影给出了一类带参数的广义共轭梯度投影法，适用于求解带线性约束的非线性最优化问题。

In this paper , replacing orthogonal projection with conjugate projection , a type of generalized conjugate gradient method with parameters is given . It is used for nonlinear optimization with linear constraints .

利用初等群论方法和有限群特征标理论，在共轭类平均长度为某一定数时，获得了对有限群结构的刻划，且对有限群数量性质的研究是有意义的。

Using the theory of elementary group and character , we get a result to characterize the structure of finite groups when the average length of conjugacy classes of the finite groups is given . This is significant for studying the quantitative property of finite groups .

外泵浦相位共轭激光器的类三极管特性与阈值开关特性

Transistor-like and threshold switching characteristics of externally pumped phase conjugate laser

卟啉是一类具有刚性的共轭大环类化合物，在光的照射下，易被激发，产生强荧光。

Porphyrins are a class of macrocyclic compounds with rigid conjugate structure , it can easily emit strong fluorescence under irradiation .

同向共轭曲线与两类界点

Conjugate Curves of Same Direction and Two Kinds of Boundary Points

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。

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 .

多搜索方向共轭梯度法&一种无需整体内积的共轭梯度类方法

Multiple search direction conjugate gradient method : a global inner product free conjugate gradient-type method

随着热解温度的提高，PAN线型结构转变成具有萘啶环大共轭结构的梯形高聚物，继而生成相互交联而成的共轭碳的类石墨芳香族六角网状层面结构。

As pyrolytic temperature raised PAN linear type structure is converted to a ladder polymer with large conjugated structure of naphthyridine rings , and crosslinked to form a network lamellar structure with aromatic six-membered rings like graphite .