Abelian group

例句：

1. 1. The Abelian group is a mathematical theory that deals with the properties of groups.
   阿贝尔群是研究群的性质的数学理论。
2. 2.This research in Abelian group has led to significant advancements in cryptography.
   在阿贝尔群方面的研究已经导致密码学的重大进步。
3. 3. The Abelian group theory has been applied to various fields, including computer science and engineering.
   阿贝尔群理论已经被应用到计算机科学和工程的各个领域。