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arXiv · 0803.4147

Principalization of ideals in abelian extensions of number fields

Sebastien Bosca·Georges Gras·Jean-François Jaulent
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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 compositum $Kk^{ab}$ of $K$ with the maximal abelian extension $k^{ab}$ of $k$

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Sebastien Bosca, Georges Gras, Jean-François Jaulent. 2008-03-28. Principalization of ideals in abelian extensions of number fields. https://doi.org/10.1006/jnth.1997.2068

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