# Infinity-extensible automorphism

## Contents

BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
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)
View other automorphism properties OR View other function properties
This is a variation of extensible automorphism|Find other variations of extensible automorphism |

## Definition

### Symbol-free definition

An automorphism of a group is said to be infinity-extensible if it is $\alpha$-extensible for every ordinal $\alpha$.