Splitting quaternion algebras defined over a finite field extension

Autor: Becher, Karim Johannes, Bingöl, Fatma Kader, Leep, David B.
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1142/S021949882250061X
Popis: 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 2^{16}.
Databáze: arXiv