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Algebra i logika, 2010, Volume 49, Number 6, Pages 757–765 (Mi al465)  
Toward a theorem of Douady

Yu. L. Ershovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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Abstract: A theorem of Douady says that the absolute Galois group of a rational function field $F(x)$ in one variable over an algebraically closed field $F$ of characteristic 0 is a free profinite group. A new method is proposed to extend Douady's theorem from the case of the complex number field $F=\mathbb C$ to the case of an arbitrary field.
Keywords: absolute Galois group, profinite group, field.
Received: 10.11.2010
English version:
Algebra and Logic, 2010, Volume 49, Issue 6, Pages 509–514
DOI: https://doi.org/10.1007/s10469-011-9113-1
Bibliographic databases:
Document Type: Article
UDC: 512.623.4
Language: Russian
Citation: Yu. L. Ershov, “Toward a theorem of Douady”, Algebra Logika, 49:6 (2010), 757–765; Algebra and Logic, 49:6 (2010), 509–514
Citation in format AMSBIB
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