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non abelian group 非阿贝尔群
This paper discusses non lexico extensions of L groups and gives an example of a non abelian lexico extension of an L group,which is not direct but includes a finite number of L ideds,which may contain infinite disjoint elements. 讨论了L－群的一个非阿贝尔字典扩张，证得它是非直的。并且导出一个结论：如果L－群G是非阿贝尔的，虽然仅含有限个L－理想，但是它可以含无限个互斥元
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.
Convergence of Fourier Series on Non Abelian Compact 0 Dimensional Groups 非交换紧零维群上的Fourier级数的收敛
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。