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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 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。
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 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。