Schur-Baer variety
Definition
A Schur-Baer variety is a subvariety of the variety of groups with the following property: For any group such that the quotient group of by its marginal subgroup corresponding to that subvariety is a finite group, it is also true that the verbal subgroup corresponding to that variety is a finite group, and its order divides a power of the order of the quotient by the marginal subgroup.
Facts
- Schur-Baer theorem states that the variety of abelian groups is a Schur-Baer variety.