ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group

DOI10.1090/proc/15882zbMath1494.11092arXiv2003.12161OpenAlexW4248209558MaRDI QIDQ5081512

Jürgen Klüners, Jiuya Wang

Publication date: 15 June 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.12161

zbMATH Keywords

class group\(\ell\)-torsion conjectureconjecture of Mallenilpotent Galois extensions

Mathematics Subject Classification ID

Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Density theorems (11R45)

Related Items (7)

On Malle’s conjecture for nilpotent groups ⋮ The asymptotics of nilpotent Galois groups ⋮ Unnamed Item ⋮ Idélic approach in enumerating Heisenberg extensions ⋮ A note on the Hasse norm principle ⋮ An approximate form of Artin's holomorphy conjecture and non-vanishing of Artin \(L\)-functions ⋮ The Chevalley-Herbrand formula and the real abelian Main Conjecture (new criterion using capitulation of the class group)

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