The weak form of Malle's conjecture and solvable groups

DOI10.1007/s40993-019-0185-7zbMath1478.11133arXiv1804.11318OpenAlexW2997639071WikidataQ123138778 ScholiaQ123138778MaRDI QIDQ2282172

Brandon Alberts

Publication date: 7 January 2020

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.11318

zbMATH Keywords

countingsolvableMalle's conjecture

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Other number fields (11R21) Class field theory (11R37)

Related Items

On Malle’s conjecture for nilpotent groups ⋮ ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group ⋮ Pointwise bound for \(\ell \)-torsion in class groups: elementary abelian extensions ⋮ The asymptotics of nilpotent Galois groups ⋮ Counting problems: class groups, primes, and number fields ⋮ UPPER BOUNDS ON POLYNOMIALS WITH SMALL GALOIS GROUP ⋮ The distribution of \(G\)-Weyl CM fields and the Colmez conjecture ⋮ Idélic approach in enumerating Heisenberg extensions ⋮ Statistics of the first Galois cohomology group: a refinement of Malle's conjecture

Uses Software

• Magma

Cites Work

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