Galois closure

Let $K$ be an extension field of $F$. A Galois closure of $K/F$ is a field $L\supseteq K$ that is a Galois extension of $F$ and is minimal in that respect, i.e. no proper subfield of $L$ containing $K$ is normal over $F$.

Title	Galois closure
Canonical name	GaloisClosure
Date of creation	2013-03-22 13:09:34
Last modified on	2013-03-22 13:09:34
Owner	scanez (1021)
Last modified by	scanez (1021)
Numerical id	6
Author	scanez (1021)
Entry type	Definition
Classification	msc 12F10