# Automorphic Galois representations and the inverse Galois problem

@article{AriasdeReyna2013AutomorphicGR, title={Automorphic Galois representations and the inverse Galois problem}, author={Sara Arias-de-Reyna}, journal={arXiv: Number Theory}, year={2013} }

A strategy to address the inverse Galois problem over Q consists of exploiting the knowledge of Galois representations attached to certain automorphic forms. More precisely, if such forms are carefully chosen, they provide compatible systems of Galois representations satisfying some desired properties, e.g. properties that reflect on the image of the members of the system. In this article we survey some results obtained using this strategy.

## 2 Citations

On the images of the Galois representations attached to certain RAESDC automorphic representations of GL n ( A Q )

- Mathematics
- 2019

In the 80’s Aschbacher classified the maximal subgroups of almost all of the finite almost simple classical groups. Essentially, this classification divide these subgroups into two types. The first…

On the images of the Galois representations attached to certain RAESDC automorphic representations of $\mathrm{GL}_n (\mathbb{A}_\mathbb{Q})$

- MathematicsMathematical Research Letters
- 2019

In the 80's Aschbacher classified the maximal subgroups of almost all of the finite almost simple classical groups. Essentially, this classification divide these subgroups into two types. The first…

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