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On Certain Isomorphisms between Absolute Galois Groups

Published online by Cambridge University Press:  04 December 2007

M. Rovinsky
M. Rovinsky
Affiliation:
Independent University of Moscow, B. Vlasievsky Per. 11, 121002 Moscow, Russia. e-mail: marat@mccme.ru and Institute for Information Transmission Problems Russian Academy of Sciences, Moscow, Russsia
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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.

Keywords

field automorphismsabsolute Galois groups.
Type
Research Article
Information
Compositio Mathematica , Volume 136 , Issue 1 , March 2003 , pp. 61 - 67
Copyright
© 2003 Kluwer Academic Publishers