阿贝尔群

Because the group operation of an abelian group is

因为阿贝尔群的群运算是符合

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。

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。

In some finiteness conditions, we prove that there exists a natural Abelian group homomorphism from the Grothendieck group of R to the Grothendieck group of A.

在适当的有限性条件下，我们证明了一个从R的Grothendieck群到A的Orothendieck群的自然的阿贝尔群同态。

The security~ of these cryptosystems is based on the dificulty in solving descrete logarithms with Abelian group .

本文讨论了一些公钥密码体制(ElGamal加密与解密算法、Diffie -Hellman密钥交换方案和Shamir协议)在阿贝尔群上的扩展，它们的安全性均建立在阿贝尔群上离散对数求解困难性的基础之

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。

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。

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。

The cyclic group of order 3, above, and {1,-1} under ordinary multiplication, also above, are both examples of abelian groups, and inspection of the symmetry of their Cayley tables verifies this.

上述的 3 阶的循环群和{1，-1}在普通乘法下的群都是阿贝尔群，可以通过检查其凯莱表的对称性来验证。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。