Functoriality and the Inverse Galois Problem

Details Functoriality and the Inverse Galois Problem Functoriality and the Inverse Galois Problem

2006-10-27

arxiv.org/abs/math/0610860v2

Compos. Math. 144 (2008), 541--564.

Mathematics

Number Theory

This is a major revision in which an error in the original paper, in the construction of a generic automorphic representation

Scientific paper

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.

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