An inner automorphism is a type of automorphism of a group that can be defined using an element from that group itself. Specifically, for a group G and an element g in G, the inner automorphism is given by the function that maps any element x in G to g x g^{-1}. This concept connects deeply with homomorphisms as it represents a specific case of group morphisms that reflect the structure of the group while preserving its operations.
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