# torsion-free abelian group

> group in which the group operation is commutative and the identity element is the only element with finite order

**Wikidata**: [Q7827198](https://www.wikidata.org/wiki/Q7827198)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Torsion-free_abelian_group)  
**Source**: https://4ort.xyz/entity/torsion-free-abelian-group