Torsion abelian group
= Torsion abelian group
{wiki=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).