A6-extensions of image and the image cohomology of image Original Research Article

We present six examples of 3-dimensional mod p Galois representations of projective type A6 for which we were able to obtain computational evidence for the generalization of Serreʹs Conjecture proposed by Ash, Doud, Pollack, and Sinnott (Duke Math. J. 112 (2002) 521). Five of these examples arise from A6 extensions of image; one of them arises from a 3.A6 extension of image. We also propose a further refinement of the conjecture corresponding to the “peu vs. très ramifiée” distinction of Serre.