HEURISTICS FOR -CLASS TOWERS OF REAL QUADRATIC FIELDS

DOI10.1017/S1474748019000641zbMath1480.11143arXiv1803.04047OpenAlexW2998334226WikidataQ126466913 ScholiaQ126466913MaRDI QIDQ5004657

Nigel Boston, Michael R. Bush, Farshid Hajir

Publication date: 3 August 2021

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.04047

zbMATH Keywords

class field towerreal quadratic fieldideal class groupCohen-Lenstra heuristicsSchur \(\sigma \)-groupSchur + \(1 \sigma \)-group

Mathematics Subject Classification ID

Galois theory (11R32) Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29)

Related Items

Probability theory for random groups arising in number theory

Uses Software

• Magma
• PARI/GP

Cites Work

• Explicit deformation of Galois representations
• The Magma algebra system. I: The user language
• The \(p\)-group generation algorithm
• Explicit computation of Galois \(p\)-groups unramified at \(p\)
• Heuristics for \(p\)-class towers of imaginary quadratic fields
• Infinite class field towers of quadratic fields.
• Non-abelian Cohen–Lenstra heuristics over function fields
• Algorithmic Number Theory
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