Galois extensions ramified only at one prime

dc.creatorHoelscher, Jing Long
dc.date2007-12-11
dc.date.accessioned2026-07-07T08:48:33Z
dc.date.available2026-07-07T08:48:33Z
dc.descriptionThis paper gives some restrictions on finite groups that can occur as Galois groups of extensions over $\Q$ and over $\F_q(t)$ ramified only at one finite prime. Over $\Q$, we strengthen results of Jensen and Yui about dihedral extensions and rule out some non-solvable groups. Over $\F_q(t)$ restrictions are given for symmetric groups and dihedral groups to occur as tamely ramified extension over $\F_q(t)$ ramified only at one prime.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0712.1653
dc.identifierhttp://arxiv.org/abs/0712.1653
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143983
dc.subjectNumber Theory
dc.subject11R32; 14H30
dc.titleGalois extensions ramified only at one prime
dc.typetext

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