Semi-strongly image-potentially characteristic 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]
This term is related to: NIPC conjecture
View other terms related to NIPC conjecture | View facts related to NIPC conjecture

Definition

A subgroup H of a group G is termed a semi-strongly image-potentially characteristic subgroup if there exists a group K with a surjective homomorphism \rho:K \to G such that \rho^{-1}(H) is a characteristic subgroup of K.

Relation with other properties

Stronger properties

Weaker properties