4.4 Article

Functoriality and the inverse Galois problem

Journal

COMPOSITIO MATHEMATICA
Volume 144, Issue 3, Pages 541-564

Publisher

CAMBRIDGE UNIV PRESS
DOI: 10.1112/S0010437X07003284

Keywords

automorphic forms; Galois representations

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We prove that, for any prime l and any even integer n, there are infinitely many exponents k for which PSp(n)1(F-lk) appears as a Calois group over Q. This generalizes a result of Wiese from 2006, which inspired this paper.

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