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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(Fr) (for r running) occur as Galois groups over the rationals such that the corresponding number fields are unramified outside a set consisting of , the infinite place and only one other prime.

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