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.
Author: | Dirk HachenbergerORCiDGND |
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URN: | urn:nbn:de:bvb:384-opus4-8762 |
Frontdoor URL | https://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 |