Splitting Patterns and Trace Forms
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Published:1998-03-01
Issue:1
Volume:41
Page:71-78
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ISSN:0008-4395
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Container-title:Canadian Mathematical Bulletin
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language:en
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Short-container-title:Can. math. bull.
Author:
Hurrelbrink Jurgen,Rehmann Ulf
Abstract
AbstractThe splitting pattern of a quadratic form q over a field k consists of all distinct Witt indices that occur for q over extension fields of k. In small dimensions, the complete list of splitting patterns of quadratic forms is known. We show that all splitting patterns of quadratic forms of dimension at most nine can be realized by trace forms.
Publisher
Canadian Mathematical Society
Subject
General Mathematics