On certain isomorphisms between absolute Galois groups

Mathematics – Algebraic Geometry

Scientific paper

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5 pages, LaTeX

Scientific paper

Let $k$ be an algebraically closed field of characteristic zero, $F$ be an
algebraically closed extension of $k$ of transcendence degree one, and $G$ be
the group of automorphisms over $k$ of the field $F$. The purpose of this note
is to calculate the group of continuous automorphisms of $G$.

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