Browsing by Author "Wang, Jiuya"

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    l-Torsion Bounds for the Class Group of Number Fields with an l -Group as Galois Group
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2020) Klüners, Jürgen; Wang, Jiuya
    We describe the relations among the ℓ-torsion conjecture for ℓ-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.