Θ-Hilbertianity

S. Fried; D. Haran

doi:10.1016/j.jalgebra.2020.03.007

Θ-Hilbertianity

S. Fried, D. Haran

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

1 Scopus citations

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
Externally published	Yes

Keywords

Absolute Galois groups
Field arithmetic
Galois theory
Hilbertian fields

ASJC Scopus subject areas

Algebra and Number Theory

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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.",

keywords = "Absolute Galois groups, Field arithmetic, Galois theory, Hilbertian fields",

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

note = "Funding Information: Research supported by ISF grant No. 696/13. Funding Information: Research supported by ISF grant No. 696/13 . Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",

year = "2020",

month = aug,

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doi = "10.1016/j.jalgebra.2020.03.007",

language = "English",

volume = "555",

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AU - Haran, D.

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N2 - 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.

AB - 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.

KW - Absolute Galois groups

KW - Field arithmetic

KW - Galois theory

KW - Hilbertian fields

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M3 - Article

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VL - 555

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JO - Journal of Algebra

JF - Journal of Algebra

ER -

Θ-Hilbertianity

Abstract

Keywords

ASJC Scopus subject areas

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