2 citations · 4 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Symbol length in positive characteristic
Fatma Kader Bingöl
We show that any central simple algebra of exponent in prime characteristic that is split by a -extension of degree is Brauer equivalent to a tensor product of $2\…
Splitting quaternion algebras defined over a finite field extension
Karim Johannes Becher, Fatma Kader Bingöl, David B. Leep
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 fin…