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]
A subgroup of a group is termed a characteristic core of subgroup of finite index if it arises as the characteristic core of a subgroup of finite index in the whole group.
Relation with other properties
|| Proof of implication
|| Proof of strictness (reverse implication failure)
|| Intermediate notions
| Characteristic subgroup