单词abelian
adj.: 【数】能成立可换定律的
网络: 阿贝尔的；可对易的
【数学】能成立可换定律的
For a general twisted conjugate action, the orbit space can be expressed as the non abelian 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。
Many properties of twisted conjugate actions can be expressed by the language of non abelian cohomology , and vise versa.
扭共轭作用的很多性质可以用非交换上同调的语言来表述，反之亦然。
In this paper, the structures of the finite groups in which every maximal subgroup is either abelian or normal are characterized.
刻画了所有极大子群皆交换或正规的有限群的结构。
The authors show that the Lies Theorem holds for Lie color algebras with a torsion- free abelian group G.
作者证明了无挠群上的色李代数的李定理，同时，也给出例子说明无挠性是必要的。
He could not understand Riemann"s work on Abelian functions nor Roch"s contributions in his dissertation.
他不能理解Riemann在Abel函数方面的工作，也不懂Roch论文中的论著。
We also prove that semi-Cayley graphs over finite abelian groups contains Cayley graphs over finite abelian groups with even order.
我们还证明了有限阿贝尔群上的半凯莱图包括偶数阶的有限阿贝尔群上的凯莱图。
This includes Fourier series, the Fourier transform, and Fourier analysis on (some) abelian groups.
第三部分研究有限阿贝尔群上的傅立叶分析。
Let G be an infinite group. If G has a normal elementary abelian subgroup, then G is irrecognizable.
设G是无限群，若G存在正规初等交换子群，则G是不可分辨的。
Once you have non abelian anyons, you can generate a physical representation of what is called the braid group.
一旦有了非阿贝尔任意子，就可以具体制造出所谓辫群（braidgroup）的表现。
These two theorems will be derived later from results on non abelian cohomology .
这两个定理将在后面由非交换上同调的结果推出。