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.
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
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