Separable extensions of orthogonal involutions in characteristic two

被引：3
|
作者：
Nokhodkar, A. -H. [1 ]
机构：
[1] Univ Kashan, Dept Pure Math, Fac Sci, POB 87317-51167, Kashan, Iran
来源：
JOURNAL OF ALGEBRA | 2018年 / 501卷
关键词：
Pfister algebras; Orthogonal involutions; Separable extensions; Characteristic two; PFISTER INVOLUTIONS; ALGEBRAS;
D O I：
10.1016/j.jalgebra.2017.12.013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
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页码：44 / 50
页数：7
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