Separable extensions of orthogonal involutions in characteristic two

JOURNAL OF ALGEBRA

卷:501

Article

Nokhodkar, A. -H.¹ 

[1] Univ Kashan, Dept Pure Math, Fac Sci, POB 87317-51167, Kashan, Iran

关键词: Pfister algebras;    Orthogonal involutions;    Separable extensions;    Characteristic two;   

DOI  :  10.1016/j.jalgebra.2017.12.013

来源: Elsevier

【 摘 要 】

It is shown that an anisotropic orthogonal involution in characteristic two is totally decomposable if it is totally decomposable over a separable extension of the ground field. In particular, this settles a characteristic two analogue of a conjecture formulated by Bayer-Fluckiger et al. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free