Consider tuples (K1,..., Kr)of separable algebras over a common local or global number field F, with the Ki 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 Ki =F. We show that for many resolvent constructions, these divisibility relations continue to hold even in the presence of wild ramification.
|Original language||English (US)|
|Number of pages||37|
|Journal||Algebra and Number Theory|
|State||Published - 2014|
- Number field
ASJC Scopus subject areas
- Algebra and Number Theory