Intermediately 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]

Definition

Symbol-free definition

A subgroup of a group is termed intermediately fully characteristic if it is fully characteristic in every intermediate subgroup of the group containing it.

Definition with symbols

A subgroup H of a group G is termed intermediately fully characteristic in G if, for any intermediate subgroup K of G, H is fully characteristic in K: for any endomorphism \varphi of K, \varphi(H) \le H.

Relation with other properties

Stronger properties

Weaker properties