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Non-abelian local reciprocity law

Ikeda, K. Ilhan; Serbest, Erol


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/27045</identifier>
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    <creator>
      <creatorName>Ikeda, K. Ilhan</creatorName>
      <givenName>K. Ilhan</givenName>
      <familyName>Ikeda</familyName>
      <affiliation>Yeditepe Univ, Dept Math, TR-34755 Istanbul, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Serbest, Erol</creatorName>
      <givenName>Erol</givenName>
      <familyName>Serbest</familyName>
      <affiliation>Gumus Sok, Gumus Pala Mahallesi, TR-34160 Istanbul, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Non-Abelian Local Reciprocity Law</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2010</publicationYear>
  <dates>
    <date dateType="Issued">2010-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
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    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1007/s00229-010-0336-6</relatedIdentifier>
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  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
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  <descriptions>
    <description descriptionType="Abstract">Following our work on the generalized Fesenko reciprocity map, we construct the non-abelian local reciprocity map Phi((phi))(K) of a local field K as a certain isomorphism from the absolute Galois group G(K) of K onto a topological group del((phi))(K,Y) whose definition involves Fontaine-Wintenberger theory of field of norms, and build the non-abelian local class field theory over K in the sense of Fesenko and Koch.</description>
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