Cohen-Lenstra moments for some nonabelian groups

DOI10.5802/jtnb.1137zbMath1466.11083arXiv1606.07867OpenAlexW3119563997MaRDI QIDQ2219650

Brandon Alberts

Publication date: 20 January 2021

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.07867

zbMATH Keywords

quadratic fieldsunramified extensionsdihedral fieldsCohen-Lenstraclass-groups\(GI\)-extensionsclass-fieldsquaternionic fields

Mathematics Subject Classification ID

Extensions, wreath products, and other compositions of groups (20E22) Class numbers, class groups, discriminants (11R29) Automorphism groups of groups (20F28) Rate of growth of arithmetic functions (11N56)

Related Items

Nonabelian Cohen-Lenstra moments

Cites Work

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• Number theory, Noordwijkerhout 1983. Proceedings of the Journées Arithmétiques held at Noordwijkerhout, The Netherlands, July 11-15, 1983
• Eisenstein series of \(1\over 2\)-integral weight and the mean value of real Dirichlet L-series
• Unramified quaternion extensions of quadratic number fields
• Nonabelian Cohen-Lenstra moments
• A counter example to Malle's conjecture on the asymptotics of discriminants
• The automorphism group of a finite \(p\)-group is almost always a \(p\)-group.
• Heuristics for \(p\)-class towers of imaginary quadratic fields
• Embedding 2-groups in groups generated by involutions
• On the Distribution of Galois Groups, II
• Non-abelian Cohen–Lenstra heuristics over function fields
• On the automorphism groups of Frobenius groups
• On the density of discriminants of cubic fields. II
• Généralisation du théorème de Ikehara
• On the distribution of Galois groups