A non-solvable Galois extension of $\Q$ ramified at 2 only

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dc.creatorDembele, Lassina
dc.creatorSerre, with a supplement by Jean-Pierre
dc.date2008-11-26
dc.date2008-11-26
dc.date.accessioned2026-07-07T12:04:52Z
dc.date.available2026-07-07T12:04:52Z
dc.descriptionIn this paper, we show the existence of a non-solvable Galois extension of $\Q$ which is unramified outside 2. The extension $K$ we construct has degree $2251731094732800=2^{19}(3\cdot 5\cdot 17\cdot 257)^2$ and has root discriminant $δ_K <2^{47/8}=58.68...$, and is totally complex.
dc.identifierhttps://arxiv.org/abs/0811.4379
dc.identifierhttp://arxiv.org/abs/0811.4379
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/208227
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11-xx; 11Gxx
dc.titleA non-solvable Galois extension of $\Q$ ramified at 2 only
dc.typetext

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