# Jordan–Hölder theorem

> theorem that whenever a composition series exists, the isomorphism classes of simple pieces and their multiplicities are uniquely determined

**Wikidata**: [Q737458](https://www.wikidata.org/wiki/Q737458)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Jordan–Hölder_theorem)  
**Source**: https://4ort.xyz/entity/jordan-h-lder-theorem