Functoriality and the Inverse Galois Problem
Number Theory
2015-06-01 v3
Abstract
We prove that there are infinitely many finite simple groups of symplectic Lie type, of any specified characteristic and rank, which appear as Galois groups over the field of rational numbers. This generalizes a result of Wiese, which inspired this paper.
Keywords
Cite
@article{arxiv.math/0610860,
title = {Functoriality and the Inverse Galois Problem},
author = {Chandrashekhar Khare and Michael Larsen and Gordan Savin},
journal= {arXiv preprint arXiv:math/0610860},
year = {2015}
}
Comments
This is a major revision in which several errors are corrected at the cost of a somewhat weakened main theorem. 32 pages