Subgroup realizable as the commutator of the whole group and a subgroup
From Groupprops
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]
Contents
Definition
A subgroup of a group is termed realizable as the commutator of the whole group and a subgroup if it can be realized as the commutator of the whole group and a subgroup.
Relation with other properties
Stronger properties
- Perfect normal subgroup
- Member of the (finite) lower central series