l-Torsion Bounds for the Class Group of Number Fields with an l -Group as Galois Group
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OWP2020_11.pdf (500.3Kb)Date
2020-05-04MFO Scientific Program
Research in Pairs 2019Series
Oberwolfach Preprints;2020,11Metadata
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.
Mathematics Subject Classification (MSC)
11Permalink
urn:nbn:de:101:1-2020062511471012492187Collections
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