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- 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。
- 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。
- SOME RESULTS OF LENGTH OF THE CONJUGACY CLASSES 关于共轭类长的几个结果
- ON THE AVERAGE LENGTH OF CONJUGACY CLASSES OF FINITE GROUPS 论有限群元素共轭类的平均长度
- On the Groups Order and the Number of Conjugacy Classes 关于群的阶与共轭类数
- Research of Elements'Numbers in Conjugacy Class of Sn Sn中共轭类所含元素数目的探讨
- On the Quotient of the Group Order and the Number of Conjugacy Classes 关于群的阶与群的共轭类数的商
- Kindly send us two samples of each class quote for. 报价时，请对每一个等级的各寄两个样品。
- The average age of the boys in this class is fifteen. 本班男生的平均年龄是十五岁。
- Henry is nowhere when it comes to the race for class president. 亨利在竞选级长中被远远抛在后面。
- 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。
- She got cold feet when asked to recite in class. 当她被叫起来在班上背诵时害怕了。
- There is great animosity between the two classes. 这两个阶级之间有很深的仇恨。
- The Number of Conjugacy Classes of Nonnormal Cyclic Subgroups in Nilpotent Groups 幂零群中非正规循环子群的共轭类数
