Direct factor-preserving 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

Symbol-free definition

An automorphism of a group is said to be direct factor-preserving if it takes each direct factor to itself, that is, if every direct factor is invariant under the automorphism.

Definition with symbols

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Relation with other properties

Stronger properties