Functoriality and the Inverse Galois Problem
数论
2015-06-01 v3
摘要
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.
引用
@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}
}
备注
This is a major revision in which several errors are corrected at the cost of a somewhat weakened main theorem. 32 pages