Fields with bounded Brauer $2$-torsion index
Rings and Algebras
2023-02-06 v1 K-Theory and Homology
Number Theory
Abstract
It is shown that, over a field of characteristic not , the dimension of an anisotropic quadratic Pfister form of trivial total signature is at most twice the dimension of some central division algebra of exponent . The proof is based on computations with quadratic trace forms of central simple algebras.
Keywords
Cite
@article{arxiv.2302.01431,
title = {Fields with bounded Brauer $2$-torsion index},
author = {Karim Johannes Becher},
journal= {arXiv preprint arXiv:2302.01431},
year = {2023}
}