Category:Absolute Galois Groups

This category contains results about Absolute Galois Groups.
Definitions specific to this category can be found in Definitions/Absolute Galois Groups.

Let $K$ be a field.

Definition 1

The absolute Galois group of $K$ is the Galois group $\Gal {K^{\operatorname{sep} } \mid K}$ of its separable closure.

Definition 2

The absolute Galois group of $K$ is the automorphism group $\Aut {\overline K \mid K}$ of its algebraic closure.