Endomorph-dominating 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]

Definition

A subgroup H of a group G is termed endomorph-dominating if for any endomorphism \varphi of G, there exists g \in G such that \varphi(H) \le gHg^{-1}.

Relation with other properties

Stronger properties

Weaker properties