Θ-Hilbertianity

S. Fried; D. Haran

doi:10.1016/j.jalgebra.2020.03.007

Θ-Hilbertianity

S. Fried, D. Haran^*

^*Corresponding author for this work

School of Mathematical Sciences

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

Abstract

We define Θ-Hilbertianity which generalizes Hilbertianity and show that the absolute Galois group of a countable Θ-Hilbertian PAC field is an appropriate analogue of a free profinite group, thus generalizing a result of Fried-Völklein-Pop.

Original language	English
Pages (from-to)	36-51
Number of pages	16
Journal	Journal of Algebra
Volume	555
DOIs	https://doi.org/10.1016/j.jalgebra.2020.03.007
State	Published - 1 Aug 2020

Keywords

Absolute Galois groups
Field arithmetic
Galois theory
Hilbertian fields

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10.1016/j.jalgebra.2020.03.007

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title = "Θ-Hilbertianity",

abstract = "We define Θ-Hilbertianity which generalizes Hilbertianity and show that the absolute Galois group of a countable Θ-Hilbertian PAC field is an appropriate analogue of a free profinite group, thus generalizing a result of Fried-V{\"o}lklein-Pop.",

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author = "S. Fried and D. Haran",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",

year = "2020",

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Θ-Hilbertianity

Abstract

Keywords

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