Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Galois Module Structure of Field Extensions
University West, Department of Technology, Mathematics and Computer Science, Division for Mathematics and Sciences.ORCID iD: 0000-0001-6594-7041
2007 (English)In: International Electronic Journal of Algebra, ISSN 1306-6048, E-ISSN 1306-6048, Vol. 2, no 8, p. 100-105Article in journal (Refereed) Published
Abstract [en]

We show, in two different ways, that every finite field extension has a basis with the property that the Galois group of the extension acts faithfully on it. We use this to prove a Galois correspondence theorem for general finite field extensions. We also show that if the characteristic of the base field is different from two and the field extension has a normal closure of odd degree, then the extension has a self-dual basis upon which the Galois group acts faithfully.

Place, publisher, year, edition, pages
2007. Vol. 2, no 8, p. 100-105
Keywords [en]
Galois theory, normal basis, self-dual basis
National Category
Mathematics
Research subject
ENGINEERING, Mathematics
Identifiers
URN: urn:nbn:se:hv:diva-118OAI: oai:DiVA.org:hv-118DiVA, id: diva2:211189
Available from: 2009-04-09 Created: 2009-04-09 Last updated: 2017-12-13Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Fulltext

Authority records BETA

Lundström, Patrik

Search in DiVA

By author/editor
Lundström, Patrik
By organisation
Division for Mathematics and Sciences
In the same journal
International Electronic Journal of Algebra
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

urn-nbn

Altmetric score

urn-nbn
Total: 187 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf