Comptes Rendus
Number Theory
A non-solvable Galois extension of Q ramified at 2 only
[Une extension galoisienne non résoluble de Q ramifiée seulement en 2]
Comptes Rendus. Mathématique, Volume 347 (2009) no. 3-4, pp. 111-116.

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(3517257)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(3517257)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

Lassina Dembélé 1

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

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