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Principalization of ideals in abelian extensions of number fields

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 نشر من قبل Jean-Francois Jaulent
 تاريخ النشر 2009
  مجال البحث
والبحث باللغة English
 تأليف Sebastien Bosca




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We give the complete proof of a conjecture of Georges Gras which claims that, for any extension $K/k$ of number fields in which at least one infinite place is totally split, every ideal $I$ of $K$ principalizes in the compositum $Kk^{ab}$ of $K$ with the maximal abelian extension $k^{ab}$ of $k$



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