Totally decomposable quadratic pairs (Q329964)

The authors state about their result: ``Algebras with quadratic pair associated to quadratic Pfister forms are tensor products of quaternion algebras with involution and a quaternion algebra with quadratic pair. One may ask whether all such totally decomposable quadratic pairs on a split central simple algebra are adjoint to a quadratic Pfister form. In characteristic different from two, where quadratic pairs are equivalent to orthogonal involutions, this is known as Pfister factor conjecture proved by \textit{K. J. Becher} [Invent. Math. 173, No. 1, 1--6 (2008; Zbl 1226.11049)], which says that in this case a totally decomposable orthogonal involution on a split algebra is adjoint to a Pfister form. In this article we prove the corresponding result for quadratic pairs over fields of characteristic two.''