Computing Iwasawa modules of real quadratic number fields

James S. Kraft; René Schoof

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Galois-Cohen-Lenstra heuristics

Cornelius Greither (2000)

Acta Mathematica et Informatica Universitatis Ostraviensis

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Examples of Iwasawa invariants, II

Robert Gold (1975)

Acta Arithmetica

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On $2$ -class field towers of imaginary quadratic number fields

Franz Lemmermeyer (1994)

Journal de théorie des nombres de Bordeaux

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For a number field $k$ , let $k^{1}$ denote its Hilbert $2$ -class field, and put $k^{2} = {(k^{1})}^{1}$ . We will determine all imaginary quadratic number fields $k$ such that $G = G a l (k^{2} / k)$ is abelian or metacyclic, and we will give $G$ in terms of generators and relations.

Class groups of abelian fields, and the main conjecture

Cornelius Greither (1992)

Annales de l'institut Fourier

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This first part of this paper gives a proof of the main conjecture of Iwasawa theory for abelian base fields, including the case $p = 2$ , by Kolyvagin’s method of Euler systems. On the way, one obtains a general result on local units modulo circular units. This is then used to deduce theorems on the order of $χ$ -parts of $p$ -class groups of abelian number fields: first for relative class groups of real fields (again including the case $p = 2$ ). As a consequence, a generalization of the Gras conjecture...

On singular and supersingular invariants of Drinfeld modules

Andreas Schweizer (1997)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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On singular moduli for rank 2 Drinfeld modules

David R. Dorman (1991)

Compositio Mathematica

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Displaying similar documents to “Computing Iwasawa modules of real quadratic number fields”

Galois-Cohen-Lenstra heuristics

Examples of Iwasawa invariants, II

On 2 -class field towers of imaginary quadratic number fields

Class groups of abelian fields, and the main conjecture

On singular and supersingular invariants of Drinfeld modules

On singular moduli for rank 2 Drinfeld modules

On $2$ -class field towers of imaginary quadratic number fields