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Newforms, inner twists, and the inverse Galois problem for projective linear groups

Newforms, inner twists, and the inverse Galois problem for projective linear groups

We reformulate more explicitly the results of Momose, Ribet and Papier concerning the images of the Galois representations attached to newforms without complex multiplication, restricted to the case of weight 2 and trivial nebentypus. We compute two examples of these newforms, with a single inner twist, and we prove that …