Splitting quaternion algebras defined over a finite field extension
Rings and Algebras
2024-01-29 v1
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 2^{16}.
Keywords
Cite
@article{arxiv.1910.01868,
title = {Splitting quaternion algebras defined over a finite field extension},
author = {Karim Johannes Becher and Fatma Kader Bingöl and David B. Leep},
journal= {arXiv preprint arXiv:1910.01868},
year = {2024}
}