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

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

2004-10-23

arxiv.org/abs/math/0410502v1

Mathematics

Number Theory

21 pages

Scientific paper

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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