Document Type
Article
Publication Date
5-31-2014
Publication Title
Algebra & Number Theory
Abstract
Consider tuples ( K1 , … , Kr ) of separable algebras over a common local or global number field F1, 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.
Volume
8
Issue
3
First Page
609
Last Page
645
DOI
http://dx.doi.org/10.2140/ant.2014.8.609
ISSN
1944-7833
Rights
© Copyright 2014 Mathematical Sciences Publishers. All rights reserved.
Recommended Citation
John W. Jones and David P. Roberts. The tame-wild principle for discriminant relations for number fields. Algebra and Number Theory 8 (2014), no. 3, 609-645.
Primo Type
Article
Comments
This is a pre-publication version of an article published in Algebra & Number Theory. The final authenticated version is available online at: http://dx.doi.org/10.2140/ant.2014.8.609