Absolute Galois group

In mathematics, the absolute Galois group "GK" of a field "K" is the Galois group of "K"sep over "K", where "K"sep is a separable closure of "K". Alternatively it is the group of all automorphisms of the algebraic closure of "K" that fix "K". The absolute Galois group is well-defined up to inner automorphism. It is a profinite group.