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Global field

concept 1 articles 15 citations 16 shown relations

This article was adapted from an original article by V.L. Popov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098.

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2020 Mathematics Subject Classification: Primary: 11R [MSN][ZBL]

A field that is either a finite degree field extension of the field of rational functions in one variable over a finite field of constants or a finite extension of the field $\mathbb{Q}$ of rational numbers (an algebraic number field).

References

[1]	J.W.S. Cassels (ed.) A. Fröhlich (ed.) , Algebraic number theory , Acad. Press (1986)

How to Cite This Entry:
Global field. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Global_field&oldid=34841

This article was adapted from an original article by V.L. Popov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article

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Articles

Global fieldencyclopedia_of_mathematics

Citations

Rational Numbersoutgoing citation Extension of a fieldoutgoing citation Galois fieldoutgoing citation Rational functionoutgoing citation Algebraic number fieldoutgoing citation Restricted direct productincoming citation Universal invariant of a fieldincoming citation Local fieldincoming citation Algebraic number theoryincoming citation Shafarevich conjectureincoming citation Manin obstructionincoming citation Algebraic Diophantine equationsincoming citation Adele groupincoming citation Arithmetic groupincoming citation General linear groupincoming citation

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citesconcept:adele-group -> concept:global-fieldconfidence: 1.00 - provenance: article backlink extractionreviewed

citesconcept:arithmetic-group -> concept:global-fieldconfidence: 1.00 - provenance: article backlink extractionreviewed

citesconcept:general-linear-group -> concept:global-fieldconfidence: 1.00 - provenance: article backlink extractionreviewed

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