# Group in which every locally inner automorphism is inner

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This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism

View a complete list of group propertiesVIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions

## Definition

A group is termed a **group in which every locally inner automorphism is inner** if every locally inner automorphism of is an inner automorphism of . Here, *locally inner* means that for any finite subset, its action on that finite subset agrees with some inner automorphism.