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On projective linear groups over finite fields as Galois groups over the rational numbers

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Wiese, Gabor
Date of publication of this fulltext: 05 Aug 2009 13:23


Ideas and techniques from Khare´s and Wintenberger’s preprint 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 ), PGL₂(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 and only one other prime.

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