A₆-extensions of Q and the mod p cohomology of GL(3,Z)

2004/10/23 by Avner Ash, Ash, Avner, David Pollack +4
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology #math.NT #msc:11F75 #msc:11F80

paper · pdf · doi:10.48550/arxiv.math/0410502

21 pages

arxiv created 2004/10/23 · arxiv updated 2009/12/01

Abstract

We present six examples of 3-dimensional mod p Galois representations of type A₆ 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.

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