# Sylow theorems

> the theorem that, for a finite group of order a mutiple of 𝑝ⁿ, there exist Sylow 𝑝-subgroups of order 𝑝ⁿ (all of whom are conjugate), whose number equals the index of the normalizer of any such subgroup

**Wikidata**: [Q1057919](https://www.wikidata.org/wiki/Q1057919)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Sylow_theorems)  
**Source**: https://4ort.xyz/entity/sylow-theorems


## References

1. Freebase Data Dumps. 2013
2. [OpenAlex](https://docs.openalex.org/download-snapshot/snapshot-data-format)