# absolute Galois group

Let $k$ be a field. The absolute Galois group $G_{k}$ of $k$ is the Galois group $\operatorname{Gal}(k^{\operatorname{sep}}/k)$ of the field extension $k^{\operatorname{sep}}/k$, where $k^{\operatorname{sep}}$ is the separable closure of $k$.

Title absolute Galois group AbsoluteGaloisGroup 2013-03-22 12:12:14 2013-03-22 12:12:14 djao (24) djao (24) 7 djao (24) Definition msc 12F10