Automorphism groups over Hilbertian fields

François Legrand; Elad Paran

doi:10.1016/j.jalgebra.2017.12.041

Automorphism groups over Hilbertian fields

François Legrand, Elad Paran

Mathematics discipline

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1-7
Number of pages	7
Journal	Journal of Algebra
Volume	503
DOIs	https://doi.org/10.1016/j.jalgebra.2017.12.041
State	Published - 1 Jun 2018

Bibliographical note

Publisher Copyright:
© 2018 Elsevier Inc.

Keywords

Automorphism groups
Hilbertian fields

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10.1016/j.jalgebra.2017.12.041

Cite this

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Automorphism groups over Hilbertian fields

Abstract

Bibliographical note

Keywords

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