Group in which every normal-extensible 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 properties
VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions

Definition

A group in which every normal-extensible automorphism is inner is a group wit hthe property that every normal-extensible automorphism of a group is an inner automorphism.

Formalisms

In terms of the automorphism property collapse operator

This group property can be defined in terms of the collapse of two automorphism properties. In other words, a group satisfies this group property if and only if every automorphism of it satisfying the first property (normal-extensible automorphism) satisfies the second property (inner automorphism), and vice versa.
View other group properties obtained in this way

Relation with other properties

Stronger properties

Weaker properties

Opposite properties