Category:Definitions/Absolute Galois Groups

From ProofWiki
Jump to navigation Jump to search

This category contains definitions related to Absolute Galois Groups.
Related results can be found in Category: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.

Pages in category "Definitions/Absolute Galois Groups"

The following 3 pages are in this category, out of 3 total.