On the images of modular and geometric three-dimensional Galois represetations

Details On the images of modular and geometric three-dimensional Galois represetations On the images of modular and geometric three-dimensional Galois represetations

2001-11-05

arxiv.org/abs/math/0111043v1

Mathematics

Number Theory

Scientific paper

We address the problem of the determination of the images of three-dimensional geometric and modular Galois representations. In the modular case the existence of these representations is only conjectural. We give conditions to ensure that the images are as large as possible for almost every prime. We compute some examples and stress the applications to inverse Galois theory.

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