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

Avner Ash·David Pollack·Warren Sinnott
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Abstract

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.

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Avner Ash, David Pollack, Warren Sinnott. 2004-10-23. A_6-extensions of Q and the mod p cohomology of GL(3,Z). https://arxiv.org/abs/math/0410502

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