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Pfister involutions in characteristic two

Authors :
A.-H. Nokhodkar
Source :
Bulletin of the London Mathematical Society. 49:505-511
Publication Year :
2017
Publisher :
Wiley, 2017.

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 becomes either anisotropic or metabolic over all extensions of the ground field. A similar result is obtained for the case where this algebra with involution is Brauer-equivalent to a quaternion algebra and it becomes adjoint to a bilinear Pfister form over all splitting fields of the algebra.

Details

ISSN :
00246093
Volume :
49
Database :
OpenAIRE
Journal :
Bulletin of the London Mathematical Society
Accession number :
edsair.doi...........8c559569a486313d73d5fec37a98b108