Group in which every subgroup is automorph-conjugate

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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
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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 subgroup is automorph-conjugate is a group satisfying the following equivalent conditions:

Formalisms

In terms of the subgroup property collapse operator

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

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 (automorphism) satisfies the second property (subgroup-conjugating automorphism), and vice versa.
View other group properties obtained in this way