Splitting quaternion algebras defined over a finite field extension

被引：0
|
作者：
Becher, Karim Johannes [1 ]
Bingol, Fatma Kader [1 ]
Leep, David B. [2 ]
机构：
[1] Univ Antwerp, Dept Wiskunde, Middelheimlaan 1, B-2020 Antwerp, Belgium
[2] Univ Kentucky, Dept Math, Lexington, KY 40506 USA
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2022年 / 21卷 / 03期
关键词：
Central simple algebra; quaternion algebra; splitting field; index; exponent; 2-extension; system of quadratic forms; corestriction; characteristic two;
D O I：
10.1142/S021949882250061X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study systems of quadratic forms over fields and their isotropy over 2-extensions. We apply this to obtain particular splitting fields for quaternion algebras defined over a finite field extension. As a consequence we obtain that every central simple algebra of degree 16 is split by a 2-extension of degree at most 2(16).
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页数：13
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