Computing the torsion of the 𝑝-ramified module of a number field

DOI10.1090/S0025-5718-2014-02838-XzbMath1317.11110OpenAlexW1981036476MaRDI QIDQ5497030

Frédéric Pitoun, Firmin Varescon

Publication date: 30 January 2015

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2014-02838-x

zbMATH Keywords

Iwasawa theoryCohen-Lenstra heuristicsLeopoldt's conjectureIwasawa modules

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Class field theory (11R37) Iwasawa theory (11R23)

Related Items

A note on $p$-rational fields and the abc-conjecture ⋮ Numerical verification of the Cohen-Lenstra-Martinet heuristics and of Greenberg's \(p\)-rationality conjecture ⋮ Heuristics and conjectures in the direction of a $p$-adic Brauer–Siegel Theorem ⋮ Prime decomposition and the Iwasawa MU-invariant ⋮ On abelian 2-ramification torsion modules of quadratic fields ⋮ On the structure of the Galois group of the abelian closure of a number field

Uses Software

• PARI/GP

Cites Work

• A partition formula connected with Abelian groups
• Heuristics on class groups and on Tate-Shafarevich groups
• Groupe de Galois de la p-extension abélienne p-ramifiée maximale d'un corps de nombres.
• A fast algorithm to compute cubic fields
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