English

Chain Lemma, Quadratic Forms and Symbol Length

Rings and Algebras 2023-04-18 v1 K-Theory and Homology

Abstract

We want to bound the symbol length of classes in 2m1Br(F){_{2^{m-1}}Br}(F) which are represented by tensor products of 5 or 6 cyclic algebras of degree 2m2^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 I3FI^3 F.

Keywords

Cite

@article{arxiv.2304.07644,
  title  = {Chain Lemma, Quadratic Forms and Symbol Length},
  author = {Adam Chapman and Ilan Levin},
  journal= {arXiv preprint arXiv:2304.07644},
  year   = {2023}
}
R2 v1 2026-06-28T10:07:11.651Z