l-Torsion Bounds for the Class Group of Number Fields with an l -Group as Galois Group

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Date
2020-05-04MFO Scientific Program
Research in Pairs 2019Series
Oberwolfach Preprints;2020,11Author
Klüners, Jürgen
Wang, Jiuya
Metadata
Show full item recordOWP-2020-11
Abstract
We describe the relations among the $\ell$-torsion conjecture for $\ell$-extensions, the discriminant multiplicity conjecture for nilpotent extensions and a conjecture of Malle giving an upper bound for the number of nilpotent extensions. We then prove all of these conjectures in these cases.