A_6-extensions of Q and the mod p cohomology of GL(3,Z)

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We present six examples of 3-dimensional mod p Galois representations of type A_6 for which we were able to obtain computational evidence for the generalization of Serre's Conjecture proposed by Ash, Doud, Pollack, and Sinnott. We also propose a further refinement of the conjecture corresponding to the "peu vs. tr`es ramifi'ee" distinction of Serre.
21 pages

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Number Theory, 11F75; 11F80

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http://salesiana.dossiersoluciones.com/handle/123456789/72978

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0410502
 http://arxiv.org/abs/math/0410502

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arXiv