automorphism of a module

例句：

1. 1.In mathematics, the automorphism group of a finite field is a group that acts on the elements of the field in a way that preserves the order of elements.
   在数学中，有限域的自同构群是一个作用于有限域元素上的群组，该群组以保持元素顺序的方式作用。
2. 2. The automorphism group of the octonary pattern has been studied extensively, and it hasbeen found that the group is not simply connected.
   八分花模式的自同构群已经广泛研究过，并且发现这个群组并不是简单连通的。
3. 3.The automorphism group of the quaternion algebra is a four-dimensional vector space, which is a fundamental concept in the study of complex analysis.
   复数代数的自同构群是一个四维向量空间，这是研究复分析学的一个基本概念。