THE INVERSE GALOIS PROBLEM FOR PSL2(Fp)

@inproceedings{Zywina2013THEIG,
  title={THE INVERSE GALOIS PROBLEM FOR PSL2(Fp)},
  author={David Zywina},
  year={2013}
}
We show that the simple group PSL2(Fp) occurs as the Galois group of an extension of the rationals for all primes p ≥ 5. We obtain our Galois extensions by studying the Galois action on the second étale cohomology groups of a specific elliptic surface.