About: Gras conjecture

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In algebraic number theory, the Gras conjecture relates the p-parts of the Galois eigenspaces of an ideal class group to the group of global units modulo cyclotomic units. It was proved by as a corollary of their work on the main conjecture of Iwasawa theory. later gave a simpler proof using Euler systems.

Attributes	Values
rdf:type	yago:WikicatConjectures yago:Abstraction100002137 yago:Cognition100023271 yago:Concept105835747 yago:Content105809192 yago:Hypothesis105888929 yago:Idea105833840 yago:PsychologicalFeature100023100 yago:Speculation105891783
rdfs:label	Gras conjecture (en) Gras förmodan (sv)
rdfs:comment	In algebraic number theory, the Gras conjecture relates the p-parts of the Galois eigenspaces of an ideal class group to the group of global units modulo cyclotomic units. It was proved by as a corollary of their work on the main conjecture of Iwasawa theory. later gave a simpler proof using Euler systems. (en) Inom matematiken är Gras förmodan en förmodan som relaterar p-delarna av Galoisegenrummen av en till gruppen av globala enheter modulo . Den bevisades av ) som ett korollarium av deras arbete om huvudförmodan inom Iwasawateori. ) gav senare ett enklare bevis genom att använda Eulersystem. (sv)
dcterms:subject	Conjectures that have been proved Theorems in algebraic number theory
Wikipage page ID	28337935 (xsd:integer)
Wikipage revision ID	975098051 (xsd:integer)
Link from a Wikipage to another Wikipage	Annales de l'Institut Fourier Inventiones Mathematicae Ideal class group Main conjecture of Iwasawa theory Algebraic number theory Cyclotomic unit Conjectures that have been proved Theorems in algebraic number theory Euler system
Link from a Wikipage to an external page	http://aif.cedram.org/item%3Fid=AIF_1977__27_1_1_0
sameAs	Gras conjecture Gras conjecture Gras conjecture Gras conjecture Gras conjecture
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Harv dbt:Harvtxt dbt:Short_description dbt:Numtheory-stub
has abstract	In algebraic number theory, the Gras conjecture relates the p-parts of the Galois eigenspaces of an ideal class group to the group of global units modulo cyclotomic units. It was proved by as a corollary of their work on the main conjecture of Iwasawa theory. later gave a simpler proof using Euler systems. (en) Inom matematiken är Gras förmodan en förmodan som relaterar p-delarna av Galoisegenrummen av en till gruppen av globala enheter modulo . Den bevisades av ) som ett korollarium av deras arbete om huvudförmodan inom Iwasawateori. ) gav senare ett enklare bevis genom att använda Eulersystem. (sv)
prov:wasDerivedFrom	wikipedia-en:Gras_conjecture?oldid=975098051&ns=0
page length (characters) of wiki page	1598 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Gras_conjecture
is Link from a Wikipage to another Wikipage of	Main conjecture of Iwasawa theory Gras Euler system
is Wikipage disambiguates of	Gras
is foaf:primaryTopic of	wikipedia-en:Gras_conjecture

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