scientific article; zbMATH DE number 3013115

zbMath0009.10202MaRDI QIDQ4756548

Arnold Scholz, O. Taussky Todd

Publication date: 1934

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002172852

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zbMATH Keywords

class field towerimaginary quadratic fieldscapitulationprincipal ideals of cubic class fields

Mathematics Subject Classification ID

Class field theory (11R37)

Related Items (20)

Class field towers of imaginary quadratic fields ⋮ A Golod-Shafarevich equality and \(p\)-tower groups ⋮ Olga Taussky-Todd, 1906-1995 ⋮ Unramified abelian extensions of number fields ⋮ Heuristics for \(p\)-class towers of imaginary quadratic fields ⋮ Maximal unramified 3-extensions of imaginary quadratic fields and \(\text{SL}_2(\mathbb Z_3)\) ⋮ The distribution of second \(p\)-class groups on coclass graphs ⋮ 3-Principalization over S3 -fields ⋮ The norm map and the capitulation kernel ⋮ Construction of maximal unramified \(p\)-extensions with prescribed Galois groups ⋮ Transfers of metabelian \(p\)-groups ⋮ 3-class field towers of exact length 3 ⋮ Annihilator ideals of two-generated metabelian p-groups ⋮ On the splitting of the Hilbert class field ⋮ Tours de corps de classes et estimations de discriminants ⋮ Some results related to Hilbert's theorem 94 ⋮ Some computational aspects of, and the use of computers in, algebraic number theory ⋮ Some cases of the Fontaine-Mazur conjecture. II ⋮ Principalization algorithm via class group structure ⋮ Zur Berechnung der Kapitulation in bikubischen Zahlkörpern

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