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

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

2006-06-28

arxiv.org/abs/math/0606732v4

Mathematics

Number Theory

7 pages, LaTeX; tiny changes

Scientific paper

Ideas and techniques 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 PSL_2(F_{l^r}) (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.

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