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An Application of Maeda's Conjecture to the Inverse Galois Problem

Published 26 Oct 2012 in math.NT | (1210.7157v3)

Abstract: It is shown that Maeda's conjecture on eigenforms of level 1 implies that for every positive even d and every p in a density-one set of primes, the simple group PSL_2(F_{pd}) occurs as the Galois group of a number field ramifying only at p.

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