Group in which every characteristic subgroup is fully invariant
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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A group in which every characteristic subgroup is fully characteristic is a group with the property that every characteristic subgroup of it is fully characteristic -- it is invariant under all endomorphisms of the group.
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 (characteristic subgroup) satisfies the second property (fully characteristic subgroup), and vice versa.
View other group properties obtained in this way