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Principalization of ideals in abelian extensions of number fields
Language
en
Article de revue
This item was published in
International Journal of Number Theory. 2009, vol. 5, p. 1--13
World Scientific Publishing
English Abstract
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 ...Read more >
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 $k$Read less <
Origin
Hal imported