principal congruence subgroup

例句：

1. 1. In the study of group theory, a principal congruence subgroup is a set that contains all elements of a given group.
   在群论研究中，一个主要一致的子群是一个包含给定群所有元素的集合。
2. 2. The research on principal congruence subgroups has led to significant advances in cryptography andnetwork security.
   对主要一致子群的研究已经导致密码学和网络安全领域取得了重大进展。
3. 3. The algorithm for finding principal congruence subgroups is computationally expensive but provides a powerful tool for studying group properties.
   寻找主要一致子群的算法计算成本较高，但为研究群属性提供了一种强大的工具。