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arXiv:1705.02606 [math.NT]AbstractReferencesReviewsResources

Automorphism groups over hilbertian fields

François Legrand, Elad Paran

Published 2017-05-07Version 1

By a classical result of M. Fried (correcting a previous attempt of E. Fried and J. Koll\'ar), every finite group occurs as the automorphism group of infinitely many finite (field) extensions of $\mathbb{Q}$ (not necessarily Galois). We extend this result to arbitrary hilbertian fields.

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