Universal normal bases for the abelian closure of the field of rational numbers

  • If E/F is a finite-dimensional Galois extension with Galois group G, then, by the Normal Basis Theorem, there exist elements w of E such that {g(w) | g element of G} is an F-basis of E, a so-called normal basis, whence w is called normal in E/F. In the present Paper, we study normal bases for cyclotomic fields.

Download full text files

Export metadata

Statistics

Number of document requests

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Dirk HachenbergerORCiDGND
URN:urn:nbn:de:bvb:384-opus4-8762
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/1020
Parent Title (English):Acta Arithmetica
Type:Article
Language:English
Year of first Publication:2000
Publishing Institution:Universität Augsburg
Release Date:2008/06/19
Tag:Galois group; Galois extension; Normal Basis; cyclotomic fields; rational number
GND-Keyword:Galois-Feld; Galois-Erweiterung; Basis <Mathematik>; Abschließung; Kreiskörper; Rationale Zahl
Volume:93
Issue:4
First Page:329
Last Page:341
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Diskrete Mathematik, Optimierung und Operations Research
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik