Definitions for "Absolute Galois group"
In mathematics, the absolute Galois group of a field K is the Galois group of Ksep over K, where Ksep is a separable closure of K. When K is a perfect field, Ksep is the same as an algebraic closure of K, and therefore this definition may be used for K of characteristic zero, or a finite field. The absolute Galois group is unique up to isomorphism.