On the Modularity of Wildly Ramified Galois Representations

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dc.creatorGoins, Edray Herber
dc.date2004-11-09
dc.date.accessioned2026-07-07T05:14:09Z
dc.date.available2026-07-07T05:14:09Z
dc.descriptionWe show that an infinite family of odd complex 2-dimensional Galois representations ramified at 5 having nonsolvable projective image are modular, thereby verifying Artin's conjecture for a new case of examples. Such a family contains the original example studied by Buhler. In the process, we prove that an infinite family of residually modular Galois representations are modular by studying $Λ$-adic Hecke algebras.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/math/0411214
dc.identifierhttp://arxiv.org/abs/math/0411214
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73170
dc.subjectNumber Theory
dc.subject11F80
dc.titleOn the Modularity of Wildly Ramified Galois Representations
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