Infinity-extensible automorphism

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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 $\alpha$.

Relation with other properties

Stronger properties

• Inner automorphism

Weaker properties

• Extensible automorphism
• Finite-iteratively extensible automorphism
• Chain-extensible automorphism