---
tag: WRH0Q4DPH6
kind: concept
name: Spherical braid group
aliases: [hurwitz-braid-group]
sources:
  - wikipedia: en:75389909@r1360738453
    locator: Spherical braid group
    note: adopted
    mention: wikipedia://en/75389909
    sections: [Summary]
same_as:
  wikidata: Q123699868
  wikipedia: Spherical braid group
inventory: [CDMV7F2CRS]
---

## Summary

In mathematics, the **spherical braid group** or **Hurwitz braid group** is a braid group on $n$ strands. In comparison with the usual braid group, it has an additional group relation that comes from the strands being on the sphere. The group also has relations to the inverse Galois problem.