# Finite-iteratively extensible automorphism

From Groupprops

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 |

This term is related to: Extensible automorphisms problem

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## Definition

An automorphism of a group is said to be **finite-iteratively extensible** if it is -extensible (refer iteratively extensible automorphism) for every natural number (or finite ordinal) .