Pfister involutions in characteristic two

AuthorsA. H. Nokhodkar
JournalB LOND MATH SOC
Page number505--511
Serial number3
Volume number49
Paper TypeOriginal Research
Published At2017
Journal GradeScientific - research
Journal TypeTypographic
Journal CountryIran, Islamic Republic Of

Abstract

In characteristic two, it is shown that a central simple algebra of degree equal to a power of two with anisotropic orthogonal involution is totally decomposable if it is adjoint to a bilinear Pfister form over all splitting fields of the algebra. A stronger result is obtained for the case where this algebra with involution is Brauer-equivalent to a quaternion algebra.