Torsion abelian group

A **torsion abelian group** is an abelian group in which every element has finite order. This means that for each element \( g \) in the group, there exists a positive integer \( n \) such that \( n \cdot g = 0 \), where \( n \cdot g \) denotes the element \( g \) added to itself \( n \) times (the group operation, typically addition).