An Application of Maeda's Conjecture to the Inverse Galois Problem
Number Theory
2013-10-04 v3
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_{p^d}) occurs as the Galois group of a number field ramifying only at p.
Keywords
Cite
@article{arxiv.1210.7157,
title = {An Application of Maeda's Conjecture to the Inverse Galois Problem},
author = {Gabor Wiese},
journal= {arXiv preprint arXiv:1210.7157},
year = {2013}
}
Comments
10 pages, very minor changes, accepted in Mathematical Research Letters