Common Slots of Bilinear and Quadratic Pfister Forms
classification
🧮 math.AC
keywords
formspfisterbilinearcommonquadraticanalogousanswersbecher
read the original abstract
We show that over any field $F$ of $\operatorname{char}(F)=2$ 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's in the negative. We provide an analogous result also for quadratic Pfister forms.
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