PRINCIPALIZATION OF IDEALS IN ABELIAN EXTENSIONS OF NUMBER FIELDS

DOI10.1142/S1793042109002213zbMath1239.11118MaRDI QIDQ5324331

Sébastien Bosca

Publication date: 3 August 2009

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

abelian extensionsclass field theoryideal classescapitulation problem

Mathematics Subject Classification ID

Class field theory (11R37) Density theorems (11R45) Other abelian and metabelian extensions (11R20)

Related Items (6)

Twists of elliptic curves ⋮ On the λ-stability of p-class groups along cyclic p-towers of a number field ⋮ The Chevalley-Herbrand formula and the real abelian Main Conjecture (new criterion using capitulation of the class group) ⋮ Abelian capitulation of ray class groups ⋮ Abelian prinicipalization of groups of logarithmic classes ⋮ Nonunique factorization and principalization in number fields

Cites Work

• Making ideals principal by absolute abelian extensions
• On the ideal class groups of the maximal real subfields of number fields with all roots of unity

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