Automorphism groups over Hilbertian fields
Number Theory
2017-12-19 v3
Abstract
We show that every finite group occurs as the automorphism group of infinitely many finite (field) extensions of any given Hilbertian field. This extends and unifies previous results of M. Fried and Takahashi on the global field case.
Keywords
Cite
@article{arxiv.1705.02606,
title = {Automorphism groups over Hilbertian fields},
author = {François Legrand and Elad Paran},
journal= {arXiv preprint arXiv:1705.02606},
year = {2017}
}