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Splitting Patterns and Trace Forms
Published online by Cambridge University Press: 20 November 2018
Abstract
The 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.
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- Copyright © Canadian Mathematical Society 1998