Definition:Torsion Subgroup

Definition
Let $G$ be an abelian group.

Its torsion subgroup $\map T G$ is the subgroup of all torsion elements.

Also see

 * Torsion Elements of Abelian Group Form Subgroup
 * Definition:Torsion-Free Group
 * Definition:Torsion Group

Generalizations

 * Definition:Torsion Submodule