Authors | A. H. Nokhodkar |
---|---|
Journal | B LOND MATH SOC |
Page number | 505--511 |
Serial number | 3 |
Volume number | 49 |
Paper Type | Original Research |
Published At | 2017 |
Journal Grade | Scientific - research |
Journal Type | Typographic |
Journal Country | Iran, 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.