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

English

Wiese, Gabor[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]

2008

Modular forms on Schiermonnikoog

Cambridge Univ. Press

343--350

Yes

Cambridge

[en] 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.