# Galois extension

> English word · Noun

## Definitions
1. An algebraic extension that is both a normal and a separable extension; equivalently, an algebraic extension E/F such that the fixed field of its automorphism group (Galois group) Aut(E/F) is the base field F.

## Etymology
Named for its connection with Galois theory and after French mathematician Évariste Galois.

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/galois-extension