Automorphism groups over Hilbertian fields
classification
🧮 math.NT
keywords
fieldautomorphismfinitegrouphilbertiancaseeveryextends
read the original 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.
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