2026-05-23T02:45:40Zhttps://keep.lib.asu.edu/oai/requestoai:keep.lib.asu.edu:node-1295852025-05-20T15:17:28Zoai_pmh:alloai_pmh:repo_items129585
https://hdl.handle.net/2286/R.I.26001
<p>Jones, John W., & Roberts, David P. (2014). The tame-wild principle for discriminant relations for number fields. ALGEBRA & NUMBER THEORY, 8(3), 609-645. http://dx.doi.org/10.2140/ant.2014.8.609</p>
10.2140/ant.2014.8.609
1944-7833
1937-0652
http://rightsstatements.org/vocab/InC/1.0/
2013-11-30
31 pages
eng
Jones, John
Roberts, David P.
College of Liberal Arts and Sciences
Text
<p>Consider tuples (K<sub>1</sub>,…,K<sub>r</sub>) of separable algebras over a common local or global number field F F, with the K<sub>i</sub> 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 K<sub>i</sub>∕F. We show that for many resolvent constructions, these divisibility relations continue to hold even in the presence of wild ramification.</p>
The Tame-Wild Principle for Discriminant Relations for Number Fields