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- SOME RESULTS OF LENGTH OF THE CONJUGACY CLASSES 关于共轭类长的几个结果
- the conjugacy classes 共轭类
- Every group can be partitioned into equivalence classes called conjugacy classes. 所有群都可以划分成叫做共轭类的等价类。
- 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。
- And if we apply the same property to the identity automorphism, we get the closedness theorem for conjugacy classes of finite order in Lie groups. 而把同样的性质应用到恒同自同构,我们会得到李群中有限阶共轭类的闭性定理。
- Then, by letting the automorphism in a theorem in Chapter 2 to be the identity, we get the closedness theorem for conjugacy classes of finite order in Lie groups. 随后,我们在第二章的某个定理中取自同构为恒同映射的特殊情况,证明了李群中有限阶共轭类的闭性定理,并给出了一个关于李群中某些共轭类是闭子流形的猜测。
- By an elementary and self-contained proof,we classify the finite groups with property P4 ,where P4is the property every prime divides the sizes of at most 3 conjugacy classes. 利用初等且自包含的证明;给出了具有P4性质的有限群分类;这里的P4性质指的是:每个素数至多能整除3个共轭类的长度.
- We also propose a conjecture on the closedness of certain conjugacy classes in Lie groups, whose generalization has been proved by the author in his later work. 这一猜测的推广在作者后来的工作中得到了证明。
- We have completely solve the open Skiba question, improved the known results in the conjugacy length. 受到国内外同行的关注和引用。与国外高水平的学校和学者有很好的合作与交流。
- Abstract: By an elementary and self-contained proof,we classify the finite groups with property P4 ,where P4is the property "every prime divides the sizes of at most 3 conjugacy classes". 摘 要: 利用初等且自包含的证明;给出了具有P4性质的有限群分类;这里的"P4性质"指的是:每个素数至多能整除3个共轭类的长度.
- This paper gives several ways by knowledge of combinatorial mathematics and abstract algebra,in which determines the number of elements in every conjugacy class of permutation group S_n. 文章利用组合数学和抽象代数的知识给出了确定置换群Sn中每个共轭类所含元素数目的不同方法。
- This paper proposes the identity-based proxy signature scheme using the conjugacy search problem in the braid groups which are believed to be hard problem,and its security is also analyzed. 介绍了辫群的基本概念、两个重要性质和辫群中的困难问题,在此基础上,利用辫群上的共轭查找问题构造了一个基于身份的代理签名,并对它的安全性进行了分析。
- He is liked by the classes and the masses. 上层社会的人士和普通的民从都喜欢他。
- The wind whirled the dead leaves about. 风吹得枯叶在四处回旋。
- The wind was whispering in the trees. 一阵风穿过树林沙沙作响。
- There are 26 letters in the English alphabet. 英语字母表中有26个字母。
- Foreign nationals were asked to leave the country. 外国侨民被要求离开该国。
- A cloud is a mass of vapor in the sky. 云是天空中的水汽团。
- A country must have the will to repel any invader. 一个国家得有决心击退任何入侵者。
- Swimming is the best way to tone up your body. 游泳是健体强身的最好方法。
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