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- Where H is a subgroup of a topological group G. The Second is that we have proved that the annibilator A of H is an open subgroup of the dual group G when G is a locally compact abelian group and H is its compact group. 其次证明了当G是一个局部紧交换群且H是它的紧子群时,H的零化子A是对偶群G的开子群。
- Let G be a locally compact Abelian group. B be a Segal algebra without order onG. 设G是局部紧Abel群,B是G上的无Order弃次Banach代数,(?)
- 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。
- The weakly inner amenable groups or (IA) groups form a very important class of locally compact groups which contains amenable groups (including abelian groups and compact groups). 弱内自可靠群或[IA]群是一类重要的局部紧致拓扑群,是包含可靠群(当然也包含交换群,紧致群)在内的一大类拓外群。
- Another is equilibrium problems on local compact cone . 二是局部紧锥上的一类平衡问题;
- 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。
- Unitary representation of locally compact group 局部紧群的酉表示
- locally compact topological group 局部紧拓扑群
- 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。
- By 1991 there were 500 schools and 92,000 young people involved with their local compact. 至1991年,地方联合办学项目涉及到500所学校和92000名年轻人。
- 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 main result is as follows: Let X be a regular space, then the nonempty closed subsets hyperspace is locally compact iff X can be represented as the sum of a compact space and a discrete space. 主要结果是:X正则,则其闭子集超空间局部紧当且仅当X可表示成一个紧空间与一个离散空间的拓扑和。
- 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。