In this Note, we show the existence of a non-solvable Galois extension of which is unramified outside 2. The extension K we construct has degree , it has root discriminant , and is totally complex.
Dans cette Note, nous démontrons l'existence d'une extension galoisienne non résoluble de ramifiée seulement en 2. L'extension K que nous construisons est de degré et de discriminant normalisé , et est totalement complexe.
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Lassina Dembélé 1
@article{CRMATH_2009__347_3-4_111_0, author = {Lassina Demb\'el\'e}, title = {A non-solvable {Galois} extension of $ \mathbb{Q}$ ramified at 2 only}, journal = {Comptes Rendus. Math\'ematique}, pages = {111--116}, publisher = {Elsevier}, volume = {347}, number = {3-4}, year = {2009}, doi = {10.1016/j.crma.2008.12.004}, language = {en}, }
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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