# Weakly normal automorphism

## Contents

BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
This article defines an automorphism property, viz a property of group automorphisms. Hence, it also defines a function property (property of functions from a group to itself)
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## Definition

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