Triple linkage of quadratic Pfister forms

被引：4

作者：

Chapman, Adam ^{[1
]}

Dolphin, Andrew ^{[2
]}

Leep, David B. ^{[3
]}

机构：

[1] Tel Hai Acad Coll, Dept Comp Sci, IL-12208 Upper Galilee, Israel

[2] Univ Ghent, Dept Math, Ghent, Belgium

[3] Univ Kentucky, Dept Math, Lexington, KY 40506 USA

来源：

MANUSCRIPTA MATHEMATICA | 2018年 / 157卷 / 3-4期

关键词：

QUATERNION ALGEBRAS; U-INVARIANT;

D O I：

10.1007/s00229-017-0996-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a field F of characteristic 2, we prove that if every three quadratic nfold Pfister forms have a common quadratic (n - 1)- fold Pfister factor then I n+ 1 q F = 0. As a result, we obtain that if every three quaternion algebras over F share a common maximal subfield then u(F) is either 0, 2 or 4. We also prove that if F is a nonreal field with char(F) = 2 and u(F) = 4, then every three quaternion algebras share a common maximal subfield.

引用

页码：435 / 443

页数：9

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