Fully invariant-potentially fully invariant subgroup

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This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof, invariant under subgroup equivalence. View a complete list of subgroup properties[SHOW MORE]


A subgroup H of a group K is termed a strongly potentially fully characteristic subgroup if there exists a group G containing K such that both H and K are fully invariant subgroups of G.

Relation with other properties

Stronger properties

Weaker properties