On projective linear groups over finite fields as Galois groups over the rational numbers in Modular Forms on Schiermonnikoog, edited by Gerard van der Geer, Ben Moonen and Bas Edixhoven, Cambridge University Press, 2008, 343–350. MR2530980 (2010i:11079)

Ideas from Khare’s and Wintenberger’s article on the proof of Serre’s conjecture for odd con-ductors are used to establish that for a fixed prime l infinitely many of the groups PSL2(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, the infinite place and only one other prime.