# On projective linear groups over finite fields as Galois groups over the rational numbers (revised version)

Gabor Wiese

Number | 19 |
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Author | Gabor Wiese |

Project | A09 |

Year | 2008 |

Ideas from Khare’s and Wintenberger’s article on the proof of Serre’s conjecture for odd conductors are used to establish that for a fixed prime l infinitely many of the groups PSL2(Fℓr) (for r running) occur as Galois groups over the rationals such that the corresponding number fields are unramified outside a set consisting of ℓ, the infinite place and only one other prime.