Abstract
We want to bound the symbol length of classes in ${_{2^{m-1}}Br}(F)$ which are represented by tensor products of 5 or 6 cyclic algebras of degree $2^m$. The main ingredients are the chain lemma for quadratic forms, a form of a generalized Clifford invariant and Pfister's and Rost's descriptions of 12- and 14-dimensional forms in $I^3 F$.
Citation
Adam Chapman. Ilan Levin. "Chain Lemma, Quadratic Forms and Symbol Length." Bull. Belg. Math. Soc. Simon Stevin 30 (2) 237 - 245, september 2023. https://doi.org/10.36045/j.bbms.230123
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