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COMMON SLOTS OF BILINEAR AND QUADRATIC PFISTER FORMS

Published online by Cambridge University Press:  03 May 2018

ADAM CHAPMAN*
Affiliation:
Department of Computer Science, Tel-Hai Academic College, Upper Galilee, 12208, Israel email [email protected]
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Abstract

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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.

Type
Research Article
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

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