3 papers
math.NT2024
Mixed multiquadratic splitting fields
Fatma Kader Bingöl, Adam Chapman, Ahmed Laghribi
We study mixed multiquadratic field extensions as splitting fields for central simple algebras of exponent in characteristic . As an application, we provide examples of none…
math.NT2024
Orthogonal involutions over fields with I^3=0
Karim Johannes Becher, Fatma Kader Bingöl
We provide upper bounds on the u-invariant for skew-hermitian forms over a quaternion algebra with its canonical involution in terms of the u-invariant of the base field F of chara…
math.RA2023
Triality over fields with
Fatma Kader Bingöl, Anne Quéguiner-Mathieu
We characterize isotropic trialitarian triples in terms of the Schur indices of the underlying algebras over a base field of arbitrary characteristic satisfying . We…