THE DISTRIBUTION OF NUMBER FIELDS WITH WREATH PRODUCTS AS GALOIS GROUPS

DOI10.1142/S1793042112500492zbMath1270.11116arXiv1108.5597OpenAlexW2964188768MaRDI QIDQ2880342

Jürgen Klüners

Publication date: 13 April 2012

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5597

zbMATH Keywords

asymptoticswreath productsnumber fields

Mathematics Subject Classification ID

Galois theory (11R32) Class numbers, class groups, discriminants (11R29) Other analytic theory (11R47)

Related Items (8)

Pointwise bound for \(\ell \)-torsion in class groups: elementary abelian extensions ⋮ Counting problems: class groups, primes, and number fields ⋮ The distribution of \(G\)-Weyl CM fields and the Colmez conjecture ⋮ Heuristics for the asymptotics of the number of Sn$S_n$‐number fields ⋮ Idélic approach in enumerating Heisenberg extensions ⋮ The weak form of Malle's conjecture and solvable groups ⋮ Malle's conjecture for for ⋮ Statistics of the first Galois cohomology group: a refinement of Malle's conjecture

Cites Work

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• The density of discriminants of quintic rings and fields
• A counter example to Malle's conjecture on the asymptotics of discriminants
• The density of discriminants of quartic rings and fields
• The number of extensions of a number field with fixed degree and bounded discriminant
• Computing the multiplicative group of residue class rings
• On the Distribution of Galois Groups, II
• On the density of discriminants of cubic fields. II
• On the distribution of Galois groups

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