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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 author proved that there is an abelian group homomorphism between the Grothendieck groups of ?R? and ?A?. 作者证明了在R的Grothendieck群和A的Grothendieck群之间存在一个阿贝尔群同态.
- 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~(?)
- The integral group rings of finite abelian groups are of great importance in algebraic k-theory. 有限交换群的整群环是一类非常重要的环,计算它的相对K_1群在代数K-理论中具有重要的意义。
- This paper deals with some properties of total sub-semigroups of Abelian groups. 研究可换群的完整子半群的性质,并进一步讨论其扩张问题,得出若干结论。
- 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。
- This paper discussed group algebras of finite generated abelian groups, and determined their derivation algebras. 讨论了任意一个有限生成可换群的群代数,并确定其导子代数。
- 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 Chapter Two, the author extends the relationship r(G) = |G| + D(G) - 1 in finite abelian groups to some type of finite non-abelian groups. 其中,在第二章中,作者将对于有限Abel群G成立的关系式r(G)=|G|+D(G)-1推广到一类非交换群上。
- Concerning the abelian groups and solvable groups, the researches on CI-properties had rather thorough results until now. 到目前为止,对于交换群和可解群,CI-性的研究已有了相当彻底的结果。
- 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。