About: Ramification group

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In number theory, more specifically in local class field theory, the ramification groups are a filtration of the Galois group of a local field extension, which gives detailed information on the ramification phenomena of the extension.

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rdf:type	building
rdfs:label	分岐群 (数学) (ja) Ramification group (en)
rdfs:comment	In number theory, more specifically in local class field theory, the ramification groups are a filtration of the Galois group of a local field extension, which gives detailed information on the ramification phenomena of the extension. (en) 数論、特ににおける分岐群（ぶんきぐん、英: ramification group）とは、局所体のガロア群のであり、体拡大における分岐の現象について詳細な情報を提供してくれるものである。 (ja)
dct:subject	Algebraic number theory
Wikipage page ID	501614 (xsd:integer)
Wikipage revision ID	1070544524 (xsd:integer)
Link from a Wikipage to another Wikipage	Cambridge University Press Root of unity Valued field Unit (ring theory) Valuation (algebra) Trivial group Mathematics Normal subgroup Function composition Equivalence class Lie algebra Local Fields Subgroup Michel Lazard Automorphism Galois extension Galois group Hasse–Arf theorem Local class field theory Local field American Mathematical Society Cyclotomic extension Field (mathematics) Finite extension Number theory Different ideal Primitive element theorem Representative (mathematics) Tamely ramified Algebraic number theory Absolute Galois group Hensel's lemma Stabilizer subgroup Field extension Filtration (mathematics) Maximal ideal of a valuation Ramification (mathematics) Solvable group Inertia subgroup Finite extensions of local fields Splitting of prime ideals in Galois extensions P-group Trivial action Unramified extension Equivalence of valuations Transitive action Valuation ring of a valuation Springer-Verlag Artin isomorphism Relative degree of an extension of valuations Residue field of a valuation Reduced ramification index of an extension of valuations Extension of a valuation dbr:Wild_inertia_subgroup
Link from a Wikipage to an external page	http://math.stanford.edu/~conrad/248APage/handouts/ramgroup.pdf
sameAs	Ramification group Ramification group Ramification group Ramification group
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Math dbt:Pi dbt:Reflist dbt:Short_description dbt:TOC_right dbt:Neukirch_ANT
has abstract	In number theory, more specifically in local class field theory, the ramification groups are a filtration of the Galois group of a local field extension, which gives detailed information on the ramification phenomena of the extension. (en) 数論、特ににおける分岐群（ぶんきぐん、英: ramification group）とは、局所体のガロア群のであり、体拡大における分岐の現象について詳細な情報を提供してくれるものである。 (ja)
gold:hypernym	Filtration
prov:wasDerivedFrom	wikipedia-en:Ramification_group?oldid=1070544524&ns=0
page length (characters) of wiki page	14669 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Ramification_group
is differentFrom of	Herbrand's theorem
is Link from a Wikipage to another Wikipage of	Herbrand's theorem on ramification groups Glossary of commutative algebra Galois module Hasse–Arf theorem Local field Ramification Ramification theory of valuations Artin conductor Ramification (mathematics) Inertia group Inertia subgroup Finite extensions of local fields Upper numbering Inertia group of an extension of valuations Lower numbering Higher ramification group Decomposition group of an extension of valuations
is Wikipage redirect of	Herbrand's theorem on ramification groups Ramification theory of valuations

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