交换群

In terms of subshifts of finite type determined by an irreducible marrix, affine maps of compacted connected metric abelian group and continuous maps of tree, the two concepts of topologically ergodic map and topologically transitive map are identical.

指出对于由不可约方阵所决定的符号空间有限型子转移而言，或紧致交换群的仿射变换及树上连续自映射而言，拓扑遍历与拓扑可迁这两个概念是一致的。

When G is a finite abelian group, the abelian group K_1, iscalculated completely mainly using the Bass-Milnor-Serre theorem, then the structure of K_1{ZG,|G|г is clear.

K_1。 3。利用Bass-Milnor-Serre定理，我们首先计算出了G是一个有限交换群时的K_1，也就计算出了(来源：e2ABC论文网www.abclunwen.com)K_1；当G是2阶和3阶循环群时，我们计算出了K_2=1，这个结果有待于继续推广，对于计算一些环的K_2群会有所帮助。

Defined a new combination rule for the vectors of a vector space, obtain a new special group, called Bai-Liang group,which is exchange group, i.e. Aber group.

定义了新的向量结合法的多维向量空间的所有向量，组成了一个特别的BAI-LIANG 群，是交换群，即阿贝尔群。

Definded a new combination rule for the vectors of a vector space, obtain a new special group, called Bai-Liang group,which is exchange group, i.e. Aber group.

定义了新的向量结合法的多维向量空间的所有向量，组成了一个特别的BAI-LIANG 群，是交换群，即阿贝尔群。

In particular, when thereis an alternating group A_5 action on a Spin 4-manifold X, we obtain: If X is smooth Spin4-manifold with non-positive signature and b_1=0, denote k=-σ/16 and m=b_2~+,then 2k+3≤m if b_2~++b_2~+≠2b_2~+(Z/A_5) and b_2~+≠0,where and are subgroups of A_5 generated by the elements s=∈A_5and t=∈A_5 respectively.

特别地，在Spin 4-流形具有非交换群A_5作用时，我们得到了：若X为光滑的具有非正符号差的Spin 4-流形，b_1=0，令k=-σ／16，m=b_2~+，如果X上具有Spin交错群A_5作用，且满足b_2~++b_2~+≠2b_2~+(X／A_5)，b_2~+≠0，则2k+3≤m，其中和分别为s=∈A_5和t=∈A_5生成的A_5的子群。

Second Part: Please recall the axioms for a commutative group, since most of your part is to verify them for the addition operation defined in the first part.

后一半：由於接下来主要是验证第一部分定义的加法运算，所以我请大家回忆交换群的公理。

First, we give the definition of Lie color superalgebras using the symmetric bicharacter on a finite commutative group, and also we introduce some fundamental notions about Lie color superalgebras.

首先根据有限交换群上对称双特征标的概念，给出着色李超代数的定义，并介绍关于着色李超代数的一些基本概念与基础知识。

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。

In this paper, two conclusions are obtained, one is the connection between the subgroups of and the factor groups of finite abelian groups, and another is the character conditions of the subgroups with normal compelement.

文章主要包括两个结果，一个是关于有限交换群的子群与同态像之间的联系，另一个是关于子群有正规补的一个特征标刻划。

In chapter 2, we investigate the structure of finite groups under the condition that all special subgroups are conjugate-permutable subgroups and obtain some sufficient conditions for solvability, Abelian property of finite groups.

第二章主要是利用一些特殊子群的共轭置换性得到了有限群成为可解群、交换群的一些充分条件，改进和推广了文[1]和[4]中的部分结果，有些结果是新的。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。