Groupprops, The Group Properties Wiki (pre-alpha)
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Contents 1 Definition 1.1 Symbol-free definition 2 Relation with other properties 2.1 Stronger properties 2.2 Weaker properties

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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)
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This is a variation of extensible automorphism
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Definition

Symbol-free definition

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

Relation with other properties

Stronger properties

• Inner automorphism

Weaker properties

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