Group automorphisms
= Group automorphisms
{wiki=Category:Group_automorphisms}
In the context of group theory, an automorphism is an isomorphism from a group to itself. More formally, let \\( G \\) be a group. An automorphism is a function \\( \\phi: G \\to G \\) that satisfies the following properties: 1. **Homomorphism**: For all elements \\( a, b \\in G \\), \\( \\phi(ab) = \\phi(a) \\phi(b) \\).