In mathematics, particularly in anabelian geometry and p-adic geometry, the absolute Galois group G K {\displaystyle G_{K}} of a field K {\displaystyle K} is the Galois group of K sep {\displaystyle K^{\textrm {sep}}} over K {\displaystyle K} , where K sep {\displaystyle K^{\textrm {sep}}} is a separable closure of K {\displaystyle K} . Alternatively, it is the group of all automorphisms of the algebraic closure of K {\displaystyle K} that fix K {\displaystyle K} .
In mathematics, particularly in anabelian geometry and p-adic geometry, the absolute Galois group G K {\displaystyle G_{K}} of a field K {\displaystyle K} is the Galois group of K sep {\displaystyle K^{\textrm {sep}}} over K {\displaystyle K} , where K sep {\displaystyle K^{\textrm {sep}}} is a separable closure of K {\displaystyle K} . Alternatively, it is the group of all automorphisms of the algebraic closure of K {\displaystyle K} that fix K {\displaystyle K} .
Source: Wikipedia "Absolute Galois group" · CC BY-SA 4.0
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