1-endomorphism-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]

Definition

A subgroup H of a group G is termed 1-endomorphism-invariant if, given any 1-endomorphism \varphi of G, \varphi(H) \subseteq H.

Relation with other properties

Weaker properties