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The Absolute Galois Group of a Rational Function Field in Characteristic Zero is a Semi-Direct Product

Published online by Cambridge University Press:  20 November 2018

Lou Van Den Dries  and
Paulo Ribenboim
Lou Van Den Dries
Affiliation:
Stanford University, Stanford, Cal., U.S.A.
Paulo Ribenboim
Affiliation:
Queen’s University, Kingston, Ontario K76L 3N6, Canada
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Abstract

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Let K be a field of characteristic 0 and t an indeterminate. It is shown that the absolute Galois group of K(t) is the semi-direct product of a free profinite group with the absolute Galois group of K.

Keywords

12F0512F10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 3 , 01 September 1984 , pp. 313 - 315
Copyright
Copyright © Canadian Mathematical Society 1984

References

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