A generalization of norm relations reduces class group computations for high-degree number fields to lower-degree subfields, with a polynomial-time proof under GRH and examples up to degree 105.
Beziehungen zwischen Klassenzahlen von Teilk¨ orpern eines galoisschen K¨ orpers
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Computing class groups by induction with generalised norm relations
A generalization of norm relations reduces class group computations for high-degree number fields to lower-degree subfields, with a polynomial-time proof under GRH and examples up to degree 105.