COMMON SLOTS OF BILINEAR AND QUADRATIC PFISTER FORMS

被引：3
|
作者：
Chapman, Adam [1 ]
机构：
[1] Tel Hai Acad Coll, Dept Comp Sci, IL-12208 Upper Galilee, Israel
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2018年 / 98卷 / 01期
关键词：
symmetric bilinear forms; quadratic forms; Pfister forms; fields of characteristic 2; valuations; quaternion algebras; MILNOR K-THEORY; LINKAGE; FIELDS;
D O I：
10.1017/S0004972718000229
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that over any field F of characteristic 2 and 2-rank n, there exist 2(n) bilinear n-fold Pfister forms that have no slot in common. This answers a question of Becher ['Triple linkage', Ann. K-Theory, to appear] in the negative. We provide an analogous result also for quadratic Pfister forms.
引用
收藏
页码：38 / 47
页数：10
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