no. 3-4
Number Theory
A non-solvable Galois extension of Q ramified at 2 only
[Une extension galoisienne non résoluble de Q ramifiée seulement en 2]

Présenté par : Jean-Pierre Serre

Dembélé, Lassina1
1 Institut für Experimentelle Mathematik, Ellernstrasse 29, 45141 Essen, Germany
Comptes Rendus. Mathématique, Tome 347 (2009) no. 3-4, pp. 111-116.
est référencé par Un complément à la Note de Lassina Dembélé “A non-solvable Galois extension of Q ramified at 2 only” [C. R. Acad. Sci. Paris, Ser. I 347 (2009)]

Dans cette Note, nous démontrons l'existence d'une extension galoisienne non résoluble de Q ramifiée seulement en 2. L'extension K que nous construisons est de degré 2251731094732800=219(3⋅5⋅17⋅257)2 et de discriminant normalisé δK<2478=58,68… , et est totalement complexe.

In this Note, we show the existence of a non-solvable Galois extension of Q which is unramified outside 2. The extension K we construct has degree 2251731094732800=219(3⋅5⋅17⋅257)2, it has root discriminant δK<2478=58.68… , and is totally complex.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2008.12.004
Dembélé, Lassina 1

1 Institut für Experimentelle Mathematik, Ellernstrasse 29, 45141 Essen, Germany 
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Dembélé, Lassina. A non-solvable Galois extension of $ \mathbb{Q}$ ramified at 2 only. Comptes Rendus. Mathématique, Tome 347 (2009) no. 3-4, pp. 111-116. doi : 10.1016/j.crma.2008.12.004. http://www.numdam.org/articles/10.1016/j.crma.2008.12.004/

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