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Potentially characteristic subgroup
From Groupprops
You might be looking for:
- NPC theorem: A normal subgroup H of a group G is potentially characteristic: there exists a group K containing G such that H is a characteristic subgroup of K.
- group property-conditionally potentially characteristic subgroup: This is the notion of being potentially characteristic with respect to a group property.
- potentially characteristic subgroups characterization problem
- potentially operator: This takes as input a subgroup property and outputs the property of being a subgroup that can satisfy the property in some ambient group.