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- Galois cohomology 伽罗瓦上同调
- On some problems of Galois theory. 关于伽罗瓦理论中几个问题的讨论
- Keywords: Galois Field, AES, cell-based library. 关键词:伽罗瓦场、进阶加密标准、标准单元库。
- The Galois group of F/L is S, by a basic result of Emil Artin. 现代的方法比起置换群的方法,有几点优势:它使得伽罗瓦理论基本定理的描述更为简洁;
- These two theorems will be derived later from results on nonabelian cohomology. 这两个定理将在后面由非交换上同调的结果推出。
- Later Chen and Hu[CH] give adeRham model to compute the Chen-Ruan cohomology ring of abelian orbifold. 最近;B.;Chen 和S
- Many properties of twisted conjugate actions can be expressed by the language of nonabelian 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。
- Galois's work supplied a criterion constructibility that disposed of some of the famous problems. Galois的工作提供了可作图的一个判别法,这个判别法解决了一些著名的问题。
- For applications to homotopy theory we also discuss by way of analogy cohomology with arbitrary coefficients. 蔡皋把想象的虚无缥缈的乌托邦具象化。让人感觉到一个实实在在的桃花源。
- The underlying algebraic structures are composite Galois fields GF((2~n)~m) in a standard base representation. 本文主要研究基于有限域GF((2~n)~m)上的椭圆曲线加密算法(ECC)的硬件设计。
- Moreover, If the order of K is a unit in R, then R~K is Galois over R~K with Galois group G/K. 如果还有K的阶数是R中的单位;则还有R~K在R~G上是Galois的;Galois群为G/K.
- An implementation for computing multiplicative inverses in Galois fields GF(2m) is presented. 在扩展欧几里得算法的基础上提出了有限域乘法逆元的计算方法。
- Various people have solved the inverse Galois problem for selected non-abelian simple groups. 但在数论和代数几何中经常出现特征非0的情况。
- 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。
- Following Poincare's step,I will use Galois' head to be chaotizing step by step!!! 虽然基本能看懂,但是绝对写不出来这样的文章,高级词汇太多了,只会认但不会用。
- Chen and Ruan[CR1] defined a very interesting cohomology theory for orb-ifold, which is now called Chen-Ruan cohomology. Chen 和Y.;Ruan[CR1] 对orbifold 定义了一种非常有意义的上同调理论;现在称为Chen-Ruan 上同调
- Quintic abelian fields are characterized in terms of their conductor and a certain Galois group. 本研究主要的目的是探讨中产阶级,尤其是中产阶级母亲对于子女教育实践的模式。
- Further, we've generalized the famous Liouville's theorem in classical mechanics and linked the Noether theorem with the cohomology. 提出相空间上保体积的一般方程,通常的正则方程是其特殊形式;
- Igor Shafarevich proved that every solvable finite group is the Galois group of some extension of Q . 这在经典框架中并不成为问题,因为这时总是可以假定为特征0的;
- 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。