Contents Online
Mathematical Research Letters
Volume 20 (2013)
Number 5
An application of Maeda’s conjecture to the inverse Galois problem
Pages: 985 – 993
DOI: https://dx.doi.org/10.4310/MRL.2013.v20.n5.a14
Author
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 $\mathrm{PSL}_2(\mathbb{F}_{p^d})$ occurs as the Galois group of a number field ramifying only at $p$.
2010 Mathematics Subject Classification
Primary 11F11. Secondary 11F80, 11R32, 12F12.
Published 28 April 2014