About: Conductor (class field theory)

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In algebraic number theory, the conductor of a finite abelian extension of local or global fields provides a quantitative measure of the ramification in the extension. The definition of the conductor is related to the Artin map.

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rdfs:label	Conductor (class field theory) (en) Conducteur (théorie du corps de classes) (fr) 導手 (ja)
rdfs:comment	In algebraic number theory, the conductor of a finite abelian extension of local or global fields provides a quantitative measure of the ramification in the extension. The definition of the conductor is related to the Artin map. (en) En théorie algébrique des nombres, le conducteur d'une extension abélienne finie de corps locaux ou globaux fournit une mesure quantitative de la ramification dans l'extension. La définition du conducteur est liée à la réciprocité d'Artin. (fr) 代数的整数論で、局所体や大域体の有限次アーベル拡大の導手(conductor)は、拡大の分岐を定量的に測るものである。導手の定義はアルティン写像に関連がある。 (ja)
dcterms:subject	Class field theory
Wikipage page ID	26355302 (xsd:integer)
Wikipage revision ID	1045235320 (xsd:integer)
Link from a Wikipage to another Wikipage	Modulus (algebraic number theory) Quasi-finite field Unramified Complete valued field Kronecker–Weber theorem Galois group Local field Algebraic number theory American Mathematical Society Cyclotomic field Finite extension Non-archimedean local field Discriminant of an algebraic number field Global field Graduate Texts in Mathematics Tamely ramified Abelian extension Class field theory Least common multiple Artin conductor Artin reciprocity law Field norm Integer Ramification (mathematics) Character (mathematics) Higher unit group Upper numbering Springer-Verlag Artin map Lower numbering Ray class group Higher ramification group Global Artin map Defining modulus Local Artin map Squarefree
Link from a Wikipage to an external page	http://jmilne.org/math/CourseNotes/cft.html
sameAs	Conductor (class field theory) Conductor (class field theory) Conductor (class field theory) Conductor (class field theory) Conductor (class field theory)
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Reflist dbt:Neukirch_ANT
has abstract	In algebraic number theory, the conductor of a finite abelian extension of local or global fields provides a quantitative measure of the ramification in the extension. The definition of the conductor is related to the Artin map. (en) En théorie algébrique des nombres, le conducteur d'une extension abélienne finie de corps locaux ou globaux fournit une mesure quantitative de la ramification dans l'extension. La définition du conducteur est liée à la réciprocité d'Artin. (fr) 代数的整数論で、局所体や大域体の有限次アーベル拡大の導手(conductor)は、拡大の分岐を定量的に測るものである。導手の定義はアルティン写像に関連がある。 (ja)
prov:wasDerivedFrom	wikipedia-en:Conductor_(class_field_theory)?oldid=1045235320&ns=0
page length (characters) of wiki page	8434 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Conductor_(class_field_theory)
is Link from a Wikipage to another Wikipage of	Quadratic field Aram Talalyan Cubic field Levon Chilingirian Stickelberger's theorem Biquadratic field Principal ideal theorem Artin reciprocity law Conductor Conductor (algebraic number theory) Conductor ideal Conductor of a number field Conductor of an abelian extension Conductor of an order
is Wikipage redirect of	Conductor (algebraic number theory) Conductor ideal Conductor of a number field Conductor of an abelian extension Conductor of an order
is Wikipage disambiguates of	Conductor
is occupation of	Aram Talalyan Levon Chilingirian
is occupation of	Aram Talalyan Levon Chilingirian
is foaf:primaryTopic of	wikipedia-en:Conductor_(class_field_theory)

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