共轭类

For a finite group G, an old theorem of Burnside asserts: each non-linear irreducible character of G must vanish on some element.

设G为有限群，古老的Burnside定理指出：G的每个非线性不可约特征标至少在一个共轭类上取零值。

The Cardo structure could increase the solubility and thermal stability of the resultant polyimide.

通过在聚酰亚胺的主链中引入庞大侧基（9，9-二苯基芴）形成轴状聚酰亚胺，同时提高聚酰亚胺的溶解性和热稳定性；庞大的侧基又能阻止链的堆砌，避免生色团荧光链间淬灭；通过加入第二种二酐单体合成三元缩聚型聚酰亚胺，调控荧光性二酐在聚酰亚胺中的含量，降低生色团在聚酰亚胺中的浓度，来避免生色团荧光浓度淬灭，增加聚酰亚胺的固态荧光量子效率；通过使用热稳定性好的稠环生色团苝和吖啶来避免共轭类生色团（如含双键或三键的生色团）在高温下热交联及氧和水的破坏。

In the study of representations of finite group, lots of evidence suggested that there is a great relationship between the structure of conjugacy classes and the character degrees of finite group.

在群表示论的研究中，大量事实说明群的共轭类结构与群的特征标数量性质间存在着密切的关系。

Knot Group;Permutation Group;Representation Of a Group;Computer Algorithm

纽结群；置换群；共轭类；群表示；计算机算法

A finite group G is called n-decomposable if every proper non-trivial normal subgroup of G is a union of n distinct conjugacy classes of G.

如果有限群G的每个非平凡真正规子群均是G的n个不同共轭类的并，则称G为n-可分解的。

In the second chapter, we study the relationship between the fitting height and conjugacy class graphΓ~* of a solvable group.

第二章讨论可解群的共轭类图与其Fitting高的关系。

In the forth chapter, we study some arithmetical conditions on the size of conjugacy classes of a finite group.

第四章讨论共轭类结构的一些算术性质，在多种情况下对有限群G的共轭类长的集合cs证明了关系|cs|≤2·k~*+1成立，其中k~*：=？

The second part: We study the connection between a non-abelian finite p-group G and the number of conjugacy class of it .

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。

In the forth chapter, we study some arithmetical conditions on the size of conjugacy classes of a finite group. And showed that |cs|≤2k~*+1 in many cases, where k~*:=?

第四章讨论共轭类结构的一些算术性质，在多种情况下对有限群G的共轭类长的集合cs证明了关系|cs|≤2·k~*+1成立，其中k~*：=？

C++ language is used to compute the length and conjugacy class of eoery A5,also proof whether it is a simple group with the method of comjugacy class.

用C++语言计算出A5的每个共轭类及其长度，并用共轭类的方法判定其是否为单群

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。