有限

Arad and Blau proved that an abelian table algebra can be viewed as a group algebra of some abelian group G. Chapter 3 of this paper gives the structural theorem of abelian table algebras by defining a group structure in table basis. Furthermore, the structure of elementary abelian table algebras is discussed using the number of composition series of table algebras.

Arad和Blau证明了abel表代数等价于某个有限生成abel群G的群代数，受此启发本文第3节通过定义表基的一个群结构给出了abel表代数的结构定理，并从合成列数目的角度对初等abel表代数进行了细致刻画。

Let G be a finite abelian group with two elements generating set M .

G是一个有两个生成元的集合M上的一个有限阿贝尔群。

Group is an important concept in Modem Algebra. Viewed from a different angle it may be divided into two different categories: finite group and infinite group; and Abelian group and non-Abelian group.

群是《近世代数》的一个重要概念，从不同的角度出发，群可以分为有限群和无限群两大类，又可以分为交换群和非交换群两大类。

Although theoretically available for a limited group has been completely resolved structure, but in certain types of college textbooks has not within abelian group table.

虽然从理论上已经完全解决了有限可换群结构，但在各类本科教材中却未见一定范围内可换群表，本文拟通过计算给出200阶以内所有可换群的类型列表。

Let G be a finite Abelian group ,an ideal in the grouping Zpr is called an Abelian code over Zpr.

设G为有限阿贝尔群，群环Zpr中的理想称为Zpr上的阿贝尔码。

In this project we obtain a sufficient and necessary condition for a finite group G has a p-block with a normal p-subgroup D as a defect group, a necessary and sufficient condition for a group which is an extension of a nilpotent group by an abelian group has a p-block of defect zero.

本项目中我们给出了正规p-子群是有限群G的亏群的一个充要条件和幂零群被交换群扩张的群有亏零块的充要条件。

Bermond et al claimed in [1] that 4-regular connected Cayley graphs on a finite abelian group can be decomposed into two Hamiltionian cycles.

J。—C.Bermond等在［1］中断言：有限阿贝尔群上的连通四正则Cavley图可分解为两个哈密顿圈的并。

For anelliptic curve E over a number field K,the set of K-rational points of it forma group Evia a special kind of"addition".This group is a finitely gener-ated abelian group,and is named Mordell-Weil group of E/K.

数域K上的椭圆曲线E的K-有理点全体，通过特别的"加法"构成一个群E，这是一个有限生成的阿贝尔群，称为莫代尔-威伊（Mordell-Weil）群，其结构是椭圆曲线研究的中心课题。

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。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。