Left-transitively isomorph-containing 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 group $G$ is termed a left-transitively isomorph-containing subgroup if, whenever $G$ is an isomorph-containing subgroup of a group $K$ , $H$ is also an isomorph-containing subgroup of $K$ .

Relation with other properties

Weaker properties