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- But twisted conjugate actions of Lie groups have closed relation with nonabelian cohomology of cyclic groups with coefficients in Lie groups. 而李群的扭共轭作用与循环群以李群为系数的非交换上同调有非常密切的关系。
- This article proves that a finite cyclic group can be isomorphically represented by direct product of some cyclic groups. 本文运用基础代数中有关循环群、直积、同构等理论,证明了一个循环群可以用另一组循环群的直积形式来同构表示。
- Moreover, some results on nonabelian cohomology of finite cyclic groups with coefficients in Lie groups can be also generalized to the case of finite non-cyclic groups. 而有限循环群李群系数非交换上同调的一些结果，还可以推广到有限非循环群的情况。
- Since a finite abelian group is the direct product of some finite cyclic groups, it is obtained that any Hopf quiver is the direct product of some directed cycles. 利用有限交换群可以表示成某些有限循环群的直积这一性质,得出了有限交换群的任意Hopf箭图都是某些有向圈的直积。
- For a general twisted conjugate action, the orbit space can be expressed as the nonabelian cohomology of the infinite cyclic group. 对于一般的扭共轭作用，其轨道空间可以表示为无限循环群的非交换上同调。
- If moreover the automorphism involved is of finite order, some special orbits are related to the nonabelian cohomology of a finite cyclic group. 当扭共轭作用中的自同构为有限阶时，某些特殊的轨道对应于有限循环群的非交换上同调。
- In this paper, consecutive quotients of powers of the augmentation ideal for the Burnside ring of a finite cyclic group is discussed, and the structure for such quotients is determined for any finite cyclic group. 本文给出了由有限循环群出发构造的Burnside环的增广理想的基底;并讨论了它们的n次幂与n+1次幂之商;完整地给出了这类商群的结构.
- The Structure of Finite Cyclic Group Ring 有限循环群环的结构
- Discussion on residue class additive group in cyclic group 循环群中剩余类加群的讨论
- Do you teach your students singly or in groups? 你教学生是个别地教还是按组教？
- THE PROPERTIES BETWEEN THE SUBGROUPS OF THE SAME CYCLIC GROUP 循环群的子群之间关系的进一步探讨
- The investigator will be divided into three groups. 所有的调查员将被分为三个小组。
- Some Necessary and Sufficient Conditions of Abelian Groups and Cyclic Groups 交换群和循环群的若干充分必要条件
- Rioting broke out between rival groups of fans. 双方球迷之间发生了骚乱。
- The party split up into two groups. 这个党分成了两派。
- The pupils are streamed into four ability groups. 这些学生按智力划分成四个小组。
- Isomorphic representations of cyclic groups and their direct product 循环群与循环群直积的同构表示
- We divided the students into four groups. 我们把学生分成四个组。
- The teacher divided our class into four groups. 老师把我们班分成四个小组。
- A cyclic code with minimum redundancy used to check errors in a set of characters. 一种用于检查一组字符的错误、并且具有最小冗余度的循环码。
