Functoriality and the inverse Galois problem

By Chandrashekhar B. Khare, Michael Larsen, Gordan Savin. Compositio Mathematica, 2006

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Abstract We prove that, for any prime ℓ and any even integer n, there are infinitely many exponents k for which $\mathrm {PSp}_n(\mathbb {F}_{\ell ^k})$ appears as a Galois group over $\mathbb {Q}$. This generalizes a result of Wiese from 2006, which inspired this paper.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/1ba7d4dc26927f752c5f8a0fc9992ee8719477c4