# Functoriality and the inverse Galois problem

@article{Khare2008FunctorialityAT, title={Functoriality and the inverse Galois problem}, author={Chandrashekhar B. Khare and Michael Larsen and Gordan Savin}, journal={Compositio Mathematica}, year={2008}, volume={144}, pages={541 - 564} }

Abstract We prove that, for any prime ℓ and any even integer n, there are infinitely many exponents k for which $\mathrm {PSp}_n(\mathbb {F}_{\ell ^k})$ appears as a Galois group over $\mathbb {Q}$. This generalizes a result of Wiese from 2006, which inspired this paper.

## 43 Citations

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