Group in which every automorphism is normal-extensible

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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

Symbol-free definition

A group in which every automorphism is normal-extensible is a group with the property that given any automorphism of it, and any embedding of it as a normal subgroup of a bigger group, the automorphism extends to an automorphism of the bigger group.

Relation with other properties

Stronger properties