Universal power automorphism

Symbol-free definition
An automorphism of a group is termed a universal power automorphism or uniform power automorphism if it is also a universal power map: it can be viewed as taking the $$n^{th}$$ power for some integer $$n$$.

Definition with symbols
An automorphism $$\sigma$$ of a group $$G$$ is termed a universal power automorphism if there exists an integer $$n$$ such that $$\sigma(g) = g^n$$ for all $$g \in G$$.

Weaker properties

 * Stronger than::Power automorphism: