Geodesic
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

Voir la notice de l'article provenant de la source Cambridge University Press

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
@article{10_4153_CMB_1984_047_4,
     author = {Dries, Lou Van Den and Ribenboim, Paulo},
     title = {The {Absolute} {Galois} {Group} of a {Rational} {Function} {Field} in {Characteristic} {Zero} is a {Semi-Direct} {Product}},
     journal = {Canadian mathematical bulletin},
     pages = {313--315},
     year = {1984},
     volume = {27},
     number = {3},
     doi = {10.4153/CMB-1984-047-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-047-4/}
}
TY  - JOUR
AU  - Dries, Lou Van Den
AU  - Ribenboim, Paulo
TI  - The Absolute Galois Group of a Rational Function Field in Characteristic Zero is a Semi-Direct Product
JO  - Canadian mathematical bulletin
PY  - 1984
SP  - 313
EP  - 315
VL  - 27
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-047-4/
DO  - 10.4153/CMB-1984-047-4
ID  - 10_4153_CMB_1984_047_4
ER  - 
%0 Journal Article
%A Dries, Lou Van Den
%A Ribenboim, Paulo
%T The Absolute Galois Group of a Rational Function Field in Characteristic Zero is a Semi-Direct Product
%J Canadian mathematical bulletin
%D 1984
%P 313-315
%V 27
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-047-4/
%R 10.4153/CMB-1984-047-4
%F 10_4153_CMB_1984_047_4

[1] 1. Douady, A., Détermination d’un groupe de Galois. C.R. Acad. Sci. Paris, 258, 1964, 5305–5308. Google Scholar

[2] 2. van den Dries, L. and Ribenboim, P., Application de la théorie des modèles aux groupes de Galois de corps de fonctions. C. R. Acad. Sci. Paris, 288, 1979, 789–792. Google Scholar

[3] 3. van den Dries, L. and Ribenboim, P., Lefschetz principle in Galois theory. Queen’s Math. Preprint, No. 1976–5. Google Scholar

[4] 4. Krull, W. and Neukirch, J., Die Struktur der absoluten Galois gruppe über dem Korper ℝ(t). Math. Ann., 193, 1971, 197–209. Google Scholar

[5] 5. Ribes, L., Introduction to Profinite Groups and Galois Cohomology. Queen’s Papers in Pure and Applied Mathematics, 24, 1970, Kingston, Ontario, Canada. Google Scholar

[6] 6. Walker, R. J., Algebraic Curves. Princeton Univ. Press, 1950. Google Scholar

Cité par Sources :