On projective linear groups over finite fields as Galois groups over the rational numbers (revised version)
Gabor Wiese
Number | 19 |
---|---|
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.