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 of a group
is termed a semi-strongly image-potentially characteristic subgroup if there exists a group
with a surjective homomorphism
such that
is a characteristic subgroup of
.
Relation with other properties
Stronger properties
- Characteristic subgroup
- Kernel of a characteristic action on an abelian group
- Strongly image-potentially characteristic subgroup