---
tag: 0QMZAQ6QQ4
kind: concept
name: Galois extension
msc: [12F10]
sources:
  - url: https://en.wikipedia.org/wiki/Galois_extension
    locator: lead section
same_as:
  wikidata: Q2020004
  wikipedia: Galois extension
---

## Summary

A Galois extension is an algebraic field extension that is normal and separable.
Galois extensions are the extensions to which the fundamental theorem of Galois theory applies.
The [[definition of a Galois extension|0DS2F7GK05]] states it.