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