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- Teichmüller_character abstract "In number theory, the Teichmüller character ω (at a prime p) is a character of (Z/qZ)×, where q = p if p is odd and q=4 if p = 2, taking values in the roots of unity of the p-adic integers. It was introduced by Oswald Teichmüller. Identifying the roots of unity in the p-adic integers with the corresponding ones in the complex numbers, ω can be considered as a usual Dirichlet character of conductor q. More generally, given a complete discrete valuation ring O whose residue field k is perfect of characteristic p, there is a unique multiplicative section ω : k → O of the natural surjection O → k. The image of an element under this map is called its Teichmüller representative. The restriction of ω to k× is called the Teichmüller character.".
- Teichmüller_character wikiPageID "31757958".
- Teichmüller_character wikiPageLength "2534".
- Teichmüller_character wikiPageOutDegree "13".
- Teichmüller_character wikiPageRevisionID "648782839".
- Teichmüller_character wikiPageWikiLink Category:Class_field_theory.
- Teichmüller_character wikiPageWikiLink Characteristic_(algebra).
- Teichmüller_character wikiPageWikiLink Complete_metric_space.
- Teichmüller_character wikiPageWikiLink Dirichlet_character.
- Teichmüller_character wikiPageWikiLink Discrete_valuation_ring.
- Teichmüller_character wikiPageWikiLink Graduate_Texts_in_Mathematics.
- Teichmüller_character wikiPageWikiLink Number_theory.
- Teichmüller_character wikiPageWikiLink Oswald_Teichmüller.
- Teichmüller_character wikiPageWikiLink P-adic_number.
- Teichmüller_character wikiPageWikiLink Perfect_field.
- Teichmüller_character wikiPageWikiLink Section_(category_theory).
- Teichmüller_character wikiPageWikiLink Springer_Science+Business_Media.
- Teichmüller_character wikiPageWikiLink Valuation_(algebra).
- Teichmüller_character wikiPageWikiLinkText "Teichmüller character".
- Teichmüller_character wikiPageWikiLinkText "Teichmüller representatives".
- Teichmüller_character wikiPageUsesTemplate Template:Citation.
- Teichmüller_character wikiPageUsesTemplate Template:Fact.
- Teichmüller_character subject Category:Class_field_theory.
- Teichmüller_character hypernym Character.
- Teichmüller_character type FictionalCharacter.
- Teichmüller_character type Diacritic.
- Teichmüller_character type Field.
- Teichmüller_character type Redirect.
- Teichmüller_character comment "In number theory, the Teichmüller character ω (at a prime p) is a character of (Z/qZ)×, where q = p if p is odd and q=4 if p = 2, taking values in the roots of unity of the p-adic integers. It was introduced by Oswald Teichmüller. Identifying the roots of unity in the p-adic integers with the corresponding ones in the complex numbers, ω can be considered as a usual Dirichlet character of conductor q.".
- Teichmüller_character label "Teichmüller character".
- Teichmüller_character sameAs Q7694961.
- Teichmüller_character sameAs m.0gtvnlv.
- Teichmüller_character sameAs Q7694961.
- Teichmüller_character wasDerivedFrom Teichmüller_character?oldid=648782839.
- Teichmüller_character isPrimaryTopicOf Teichmüller_character.