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

URN to cite this document:
urn:nbn:de:bvb:355-epub-5802
DOI to cite this document:
10.5283/epub.580
Wiese, Gabor
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Date of publication of this fulltext: 05 Aug 2009 13:23


Abstract

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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