Quotient-pullbackable equals inner
This article gives a proof/explanation of the equivalence of multiple definitions for the term inner automorphism
View a complete list of pages giving proofs of equivalence of definitions
This fact is related to: Extensible automorphisms problem
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- The automorphism is a quotient-pullbackable automorphism: For any homomorphism , there is an automorphism of , .
- The automorphism is an inner automorphism.
An automorphism of a group is termed quotient-pullbackable if given any surjective homomorphism there is an automorphism of such that .
Further information: Inner automorphism
An automorphism of a group is termed an inner automorphism if there exists such that .