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Ray class field

In mathematics, specifically class field theory, a ray class field is an abelian extension of a global field associated with a ray class group of ideal classes or idele classes. Every finite abelian extension of a number field is contained in one of its ray class fields.

History, Ray class fields using ideals & Ray class fields using ideles

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History

Ray class fields using ideals

Ray class fields using ideles

Examples

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Ray class field

Nodes32
Edges31
Triples10
Avg. degree1.94
Density0.0625
Components1

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Ray class field

Top relations

related to Examples · 4
Ray class field → Hilbert, If, The, The Hilbert
related to history · 3
Ray class field → Chevalley, Takagi, Weber
is a · 2
Ray class field → abelian extension of a global field associated with a ray class group of ideal classes or idele classes, field generated by the m

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Important terminology

class ray group field real displaystyle places ideal abelian extension fields ideals positive groups using corresponding set idele authors german

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Ray class fieldis aabelian extension of a global field associated with a ray class group of ideal classes or idele classes0.90text
Ray class fieldis afield generated by the m0.90text
imaginary quadratic fieldsinstance ofthough explicit constructions are known in some special cases0.80text
Ray class fieldrelated to ExamplesIf0.60section
Ray class fieldrelated to ExamplesThe0.60section
Ray class fieldrelated to ExamplesThe Hilbert0.60section
Ray class fieldrelated to ExamplesHilbert0.60section
Ray class fieldrelated to historyWeber0.60section
Ray class fieldrelated to historyTakagi0.60section
Ray class fieldrelated to historyChevalley0.60section

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