# Finite-iteratively 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 |
This term is related to: Extensible automorphisms problem
View other terms related to Extensible automorphisms problem | View facts related to Extensible automorphisms problem

## Contents

BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]

## Definition

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