论文标题
在数字字段上的四元基因代数和简单的Abelian表面上的Jordan常数在积极特征的领域
Jordan constants of quaternion algebras over number fields and simple abelian surfaces over fields of positive characteristic
论文作者
论文摘要
我们计算并在小度的数字字段上对Quaternion代数的乘法亚组的Jordan常数提供了详细的描述。作为一种应用,我们确定了阳性特征磁场上简单阿伯利亚表面的内态代数的乘法亚组的约旦常数。
We compute and provide a detailed description on the Jordan constants of the multiplicative subgroup of quaternion algebras over number fields of small degree. As an application, we determine the Jordan constants of the multiplicative subgroup of the endomorphism algebras of simple abelian surfaces over fields of positive characteristic.