Weakly normal automorphism

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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.

Relation with other properties

Stronger properties