Biquaternion Algebras, Chain Lemma and Symbol Length

Adam Chapman, Kelly McKinnie

Research output: Contribution to journalArticlepeer-review


In this note, we present a chain lemma for biquaternion algebras over fields of characteristic 2 in the style of the equivalent chain lemma by Sivatski in characteristic not 2, and conclude a bound on the symbol length of classes in 2nBr(F) whose symbol length in 2n+1Br(F) is at most 4.

Original languageEnglish
Article number255
JournalMediterranean Journal of Mathematics
Issue number5
StatePublished - Oct 2023


  • Division algebras
  • biquaternion algebras
  • chain lemma
  • cyclic algebras
  • fields of characteristic 2
  • quaternion algebras


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