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COMMON SLOTS OF BILINEAR AND QUADRATIC PFISTER FORMS
Part of
- Forms and linear algebraic groups
- Division rings and semisimple Artin rings
ADAM CHAPMAN
Journal:

Bulletin of the Australian Mathematical Society / Volume 98 / Issue 1 / August 2018

Published online by Cambridge University Press:

03 May 2018, pp. 38-47

Print publication:

August 2018
- Article
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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.