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Extensible automorphism
From Groupprops
You might be looking for:
- extensible equals inner: A proof that every extensible automorphism of a group is an inner automorphism. An automorphism σ of a group G is termed extensible if for any group H containing G, there exists an automorphism σ' of H whose restriction to G equals σ.
- extensible automorphisms problem: A discussion of extensibility of automorphisms and related questions.
- group property-conditionally extensible automorphism: The property of an automorphism being extensible with respect to a group property.
- variety-extensible automorphism: extensibility with respect to a variety of algebras.
Also check out quotient-pullbackable automorphism.