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

2 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

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

year = "2020",

month = aug,

day = "1",

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

language = "English",

volume = "555",

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journal = "Journal of Algebra",

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T1 - Θ-Hilbertianity

AU - Fried, S.

AU - Haran, D.

PY - 2020/8/1

Y1 - 2020/8/1

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

UR - https://www.scopus.com/pages/publications/85082675891

U2 - 10.1016/j.jalgebra.2020.03.007

DO - 10.1016/j.jalgebra.2020.03.007

M3 - Article

AN - SCOPUS:85082675891

SN - 0021-8693

VL - 555

SP - 36

EP - 51

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Θ-Hilbertianity

Abstract

Keywords

ASJC Scopus subject areas

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