M. Rovinsky
Abstract
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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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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 .
Key concepts: Algebraically closed field, Mathematics, Automorphism, Zero (linguistics), Pure mathematics, Extension (predicate logic), Transcendence (philosophy), Field (mathematics)