# Takagi existence theorem

> a correspondence between finite abelian extensions and generalized ideal class groups

**Wikidata**: [Q3526993](https://www.wikidata.org/wiki/Q3526993)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Takagi_existence_theorem)  
**Source**: https://4ort.xyz/entity/takagi-existence-theorem