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.
|Journal||Journal of Algebra and its Applications|
|State||Published - Mar 1 2022|
Bibliographical noteFunding Information:
This work was supported by the FWO Odysseus program (project Explicit Methods in Quadratic Form Theory), funded by the Fonds Wetenschappelijk Onderzoek - Vlaanderen.
© 2022 World Scientific Publishing Company.
- 2 -extension
- Central simple algebra
- characteristic two
- quaternion algebra
- splitting field
- system of quadratic forms
ASJC Scopus subject areas
- Algebra and Number Theory
- Applied Mathematics