Automorphisms

See also 16 Homomorphisms, Isomorphisms#20 for an intro to this topic.

automorphisms

Let $G$ be a Group. An Isomorphism from $G$ to itself is called an automorphism of $G$ . The set of all automorphisms of $G$ is denoted $Aut (G)$ .

We've shown in the intro how $Aut (G)$ is itself a group structure. But one example of such an automorphism is the Conjugation Subgroup