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- We prove that if G is also an abelian group, then the group is amenable. 当 G是交换群时 ,给出一种证明其顺从的方法
- ThePurpose of this note is to get a characteristic of finite Abelian group. 文章研究了具有某种性质的自同构的有限群，得出了这种群为Abelian群的一个充要条件。
- Some conditions were discussed , under which a group become an abelian group . 讨论在什么条件下 ;一个群可以成为交换群 .;首先讨论一般的群;然后讨论有限群
- The ellipse rotating symmetric group is proposed,which is an Abelian group. 提出椭圆旋转对称群,它是一个单参数阿贝尔群。
- The concept of purifier of subgroup of Abelian group and some conclusions related to it are given in this paper. 本文给出了Abel群之子群的纯化子概念及之相关的几个结论。
- In this paper we study Toeplitz operator and Toeplitz algebra on discrete abelian group. 研究了离散交换群上的Toeplitz算子和Toeplitz代数 .
- In this paper,we prove that -2,-3 are not multipliers of planar difference sets in Abelian group. 本文证明了 :- 2、- 3均不是平面差集 ( Abel群中 )的乘子 ,并指出这一结果可用于讨论平面差集的存在性判定
- The present thesis essentially aims at generalizing one theorem about the complete group in the finite group theory up to the infinite abelian group. 本文中心,是将有限群论中关于完全群的一个定理推广到无限Abel群。
- The critical group of a connected graph is a finite abelian group whose structure is a subtle isomorphism invariant of the graph. 图的临界群是图生成树数目的一个加细.;它是定义在图上的一个有限交换群;其群结构是图的一个精细不变量;与图的Laplacian理论密切相关
- On the multiplier of planar difference sets in Abelian group,it is well known that -1 is not multiplier and 2,3,5,are not extraneous multipliers. 在 Abel群中平面差集乘子的结果中 ;有平面差集的阶 n的任何因数均是乘子 ;且 - 1不是乘子 ;从文献 [1]可以得出 :2、3、5不是额外乘子 .
- In this paper, We have proved finite Abelian group G has 147 types when| A ( G ) | = 25pq, here p, q are different odd primes. 本文利用有限Abel群G的自同构群A(G)的阶来确定群G的构造,证明了当|A(G)|=2~5pq时,G最多有147种类型。
- The third is the identity of G and Z/(?) , where G is a compact abelian group A=G and Z is the additive group of integers with discrete topology. 最后一个结果表明G与Z/A可视为同一,而其中的G是一个紧交换群,=G,Z是带有离散拓扑的整数加群。
- Moreover, a necessary and sufficientcondition for an abelian group to have test elements is specified.Also, the test elements are determined. 作为应用，给出了任意阿贝尔群有检验元素的充分必要条件，并确定了其检验元素。
- The base that using elliptic curves as public key cryptosystem is because of the point set of elliptic curve on finite field can construct Abelian group. 使用椭圆曲线作为公钥密码体制的基础,是定义在有限域上椭圆曲线上的点构成的阿贝尔群,并且使定义其上的离散对数问题的求解非常困难。
- Let G be a finite Abelian group,an ideal in the groupring Z_(p~r)[G] is called an Abelian code over Z_(p~r), where Z_(p~r) is the ring of integers modulo p~r. 设G为有限阿贝尔群; 群环Zp[G]中的理想称为Zpr 上的阿贝尔码; 其中Zpr 为模pr 剩余类环.
- Extends the binary morphological rank operator to grey-scale images based on fuzzy logic and studies grey-scale morphological rank operators in a finite additive Abelian group. 在有限Abelian群中;基于模糊逻辑将二值形态学分级算子推广到灰度图像;研究灰度形态学分级算子.
- This paper didcussed the basic properties on character of a Abelian group which order is n. We then calculate the determinant of cyclic matrix by means of theorem in this paper. 讨论了n阶Abel群的特征的基本性质,并利用所得结果计算了n阶循环矩阵的行列式。
- In some finiteness conditions, we prove that there exists a natural Abelian group homomorphism from the Grothendieck group of R to the Grothendieck group of A. 在适当的有限性条件下，我们证明了一个从R的Grothendieck群到A的Orothendieck群的自然的阿贝尔群同态。
- This paper disscusses the types of finite Abelian groups G with |A(G)|=2p~n, 2~2p~n, 2~3p~n. 本文是[1]、[2]的继续,利用群G的自同构群A(G)来刻划群G的构造,给出了|A(G)|=2p~n,2~2p~n,2~3p~n的有限Abel群G的全部类型。
- In this paper we solve the following classical problem of Harmonie Analysis on Abelian Groups. 本文解决了阿贝尔群上调和分析的如下经典问题:一组有序复数是G~(?)
