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- free cyclic group 自由循环群
- 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.
- 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。
- 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。
- 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。
- The Structure of Finite Cyclic Group Ring 有限循环群环的结构
- Reading occupies most of my free time. 阅读占去了我大部分的闲暇时间。
- 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。
- The crew remained free from scurvy. 那些船员仍然没有患坏血病之虞。
- He's a fervent believer in free speech. 他是言论自由的强烈信仰者。
- Discussion on residue class additive group in cyclic group 循环群中剩余类加群的讨论
- She picked up a new magazine with her free hand. 她用空着的一只手拿起一本新杂志。
- 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
- Jon sent away for a free almanac. 乔写信去要一份免费赠阅的年历。
- Now that I am free, I can enjoy music for a while. 既然有空，我可以享受一下音乐。
- A free flow of water came from the pipe. 水从管道里通畅地流了出来。
- He closed the deal successfully and was home free. 买卖成交了，他松了一口气。
- He is free with his advice to his pupils. 他直言无隐地向学生提出忠告。
