About: Stickelberger's theorem

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In mathematics, Stickelberger's theorem is a result of algebraic number theory, which gives some information about the Galois module structure of class groups of cyclotomic fields. A special case was first proven by Ernst Kummer while the general result is due to Ludwig Stickelberger.

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rdfs:label	Théorème de Stickelberger (fr) Stickelberger's theorem (en) Stickelbergers sats (sv)
rdfs:comment	En mathématiques, le théorème de Stickelberger est un résultat de la théorie algébrique des nombres, qui donne certaines informations sur la structure du module de Galois des groupes de classes des corps cyclotomiques. Il a été démontré par Ludwig Stickelberger en 1890. (fr) In mathematics, Stickelberger's theorem is a result of algebraic number theory, which gives some information about the Galois module structure of class groups of cyclotomic fields. A special case was first proven by Ernst Kummer while the general result is due to Ludwig Stickelberger. (en) Inom matematiken är Stickelbergers sats ett resultat som ger information om Galoismodulstrukturen av av . Ett specialfall bevisades först av Ernst Kummer, och det allmänna fallet bevisades av. (sv)
dcterms:subject	Cyclotomic fields Theorems in algebraic number theory
Wikipage page ID	2202290 (xsd:integer)
Wikipage revision ID	1052070883 (xsd:integer)
Link from a Wikipage to another Wikipage	Principal ideal Root of unity Euler totient function Totally real field Degree of a field extension Mathematics Conductor (class field theory) Annihilator (ring theory) Ludwig Stickelberger Cyclotomic fields Kronecker–Weber theorem Galois extension Galois group Galois module Algebraic number theory Cyclotomic field Ernst Kummer Fractional ideal Graduate Texts in Mathematics Group homomorphism Adjunction (field theory) Theorems in algebraic number theory Herbrand–Ribet theorem Thaine's theorem Field extension Gross–Koblitz formula Group ring Rational number Multiplicative group of integers modulo n Springer-Verlag Class group Abelian number field Primitive root of unity
Link from a Wikipage to an external page	http://gdz.sub.uni-goettingen.de/no_cache/dms/load/img/%3FIDDOC=27547 http://www.fen.bilkent.edu.tr/~franz/publ/boas.pdf http://planetmath.org/%3Fop=getobj&from=objects&id=5642 https://zenodo.org/record/1448852
sameAs	Stickelberger's theorem Stickelberger's theorem Stickelberger's theorem Stickelberger's theorem Stickelberger's theorem Stickelberger's theorem Stickelberger's theorem
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has abstract	En mathématiques, le théorème de Stickelberger est un résultat de la théorie algébrique des nombres, qui donne certaines informations sur la structure du module de Galois des groupes de classes des corps cyclotomiques. Il a été démontré par Ludwig Stickelberger en 1890. (fr) In mathematics, Stickelberger's theorem is a result of algebraic number theory, which gives some information about the Galois module structure of class groups of cyclotomic fields. A special case was first proven by Ernst Kummer while the general result is due to Ludwig Stickelberger. (en) Inom matematiken är Stickelbergers sats ett resultat som ger information om Galoismodulstrukturen av av . Ett specialfall bevisades först av Ernst Kummer, och det allmänna fallet bevisades av. (sv)
gold:hypernym	Result
prov:wasDerivedFrom	wikipedia-en:Stickelberger's_theorem?oldid=1052070883&ns=0
page length (characters) of wiki page	7597 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Stickelberger's_theorem
is Link from a Wikipage to another Wikipage of	List of algebraic number theory topics Jacobi sum Class number formula Gauss sum Glossary of arithmetic and diophantine geometry Louis J. Mordell Ludwig Stickelberger Brumer–Stark conjecture Thaine's theorem Stickelberger element Stickelberger relation Stickelberger theorem
is Wikipage redirect of	Stickelberger element Stickelberger relation Stickelberger theorem
is known for of	Ludwig Stickelberger
is known for of	Ludwig Stickelberger
is foaf:primaryTopic of	wikipedia-en:Stickelberger's_theorem

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