Direct factor-preserving automorphism
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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