Finitarily extensible 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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This is a variation of extensible automorphism|Find other variations of extensible automorphism |
When the starting group is finite, this reduces to the notion of finite-extensible automorphism.
Definition with symbols
An automorphism of a group is said to be finitarily extensible if for any containing such that is finite, there exists an automorphism of such that the restriction of to is .