Nonstandard definitions of inner automorphism
This article lists nonstandard definitions of the following term: inner automorphism
This page lists some offbeat, but correct, definitions of inner automorphism.
In terms of being able to extend to bigger groups
An automorphism of a group is termed inner if it is an extensible automorphism: For any group containing , extends to an automorphism of .
Further information: Pushforwardable equals inner
An automorphism of a group is termed inner if it is a quotient-pullbackable automorphism: For any surjective homomorphism , there exists an automorphism of such that .
Definition in terms of universal algebra
Further information: Inner automorphisms are I-automorphisms in the variety of groups