The Absolute Galois Group of a Rational Function Field in Characteristic Zero is a Semi-Direct Product
Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 313-315

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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.
DOI : 10.4153/CMB-1984-047-4
Mots-clés : 12F05, 12F10
Dries, Lou Van Den; Ribenboim, Paulo. The Absolute Galois Group of a Rational Function Field in Characteristic Zero is a Semi-Direct Product. Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 313-315. doi: 10.4153/CMB-1984-047-4
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     title = {The {Absolute} {Galois} {Group} of a {Rational} {Function} {Field} in {Characteristic} {Zero} is a {Semi-Direct} {Product}},
     journal = {Canadian mathematical bulletin},
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     doi = {10.4153/CMB-1984-047-4},
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