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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
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.
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- Copyright © Canadian Mathematical Society 1984
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