Finite-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]
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Definition

A subgroup $H$ of a finite group $G$ is termed a finite-potentially fully invariant subgroup if there exists a finite group $K$ containing $G$ such that $H$ is a fully invariant subgroup of $K$ .

Relation with other properties

Stronger properties