Weakly normal automorphism

Definition
An automorphism $$\sigma$$ of a group $$G$$ is termed a weakly normal automorphism if, for every defining ingredient::normal subgroup $$N$$ of $$G$$, $$\sigma(N) \subseteq N$$.

Stronger properties

 * Weaker than::Inner automorphism
 * Weaker than::Normal automorphism: A normal automorphism is a weakly normal automorphism whose inverse is also weakly normal.
 * Weaker than::Uniform power automorphism
 * Weaker than::Power automorphism
 * Weaker than::Class-preserving automorphism
 * Weaker than::Subgroup-conjugating automorphism
 * Weaker than::Strong monomial automorphism
 * Weaker than::Monomial automorphism