Abstract
We study systems of quadratic forms over fields and their isotropy over 2-extensions. We apply this to obtain particular splitting fields for quaternion algebras defined over a finite field extension. As a consequence we obtain that every central simple algebra of degree 16 is split by a 2-extension of degree at most 216.
| Original language | English |
|---|---|
| Article number | 2250061 |
| Journal | Journal of Algebra and its Applications |
| Volume | 21 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 1 2022 |
Bibliographical note
Publisher Copyright:© 2022 World Scientific Publishing Company.
Funding
This work was supported by the FWO Odysseus program (project Explicit Methods in Quadratic Form Theory), funded by the Fonds Wetenschappelijk Onderzoek - Vlaanderen.
| Funders |
|---|
| Fonds Wetenschappelijk Onderzoek Vlaanderen |
| Fonds Wetenschappelijk Onderzoek |
Keywords
- 2 -extension
- Central simple algebra
- characteristic two
- corestriction
- exponent
- index
- quaternion algebra
- splitting field
- system of quadratic forms
ASJC Scopus subject areas
- Algebra and Number Theory
- Applied Mathematics
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