automorphism of group

例句：

1. 1.The group is known for its automorphisms, which are unique properties that make it different from other groups.
   这个群以其独特的自同构性质而闻名，这使得它与其他群不同。
2. 2. In mathematics, the automorphism of a group is studied to understand how changes in one element affect the entire structure.
   在数学中，研究群的自同构是为了理解一个元素的改变如何影响整个结构。
3. 3. The automorphism of the group plays an important role in determining the stability of the system.
   群的自同构在确定系统稳定性方面起着重要作用。