Consider tuples of separable algebras over a common local or global number field , with the related to each other by specified resolvent constructions. Under the assumption that all ramification is tame, simple group-theoretic calculations give best possible divisibility relations among the discriminants of . We show that for many resolvent constructions, these divisibility relations continue to hold even in the presence of wild ramification.
"The tame-wild principle for discriminant relations for number fields." Algebra Number Theory 8 (3) 609 - 645, 2014. https://doi.org/10.2140/ant.2014.8.609