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math.RA2023
Biquaternion Algebras, Chain Lemma and Symbol Length
Adam Chapman, Kelly McKinnie
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…
math.RA2023★ 2 cited
Alternating Roots of Polynomials over Cayley-Dickson Algebras
Adam Chapman, Ilan Levin
We introduce the notions of alternating roots of polynomials and alternating polynomials over a Cayley-Dickson algebra, and prove a connection between the alternating roots of a gi…
math.RA2023
Chain Lemma, Quadratic Forms and Symbol Length
Adam Chapman, Ilan Levin
We want to bound the symbol length of classes in which are represented by tensor products of 5 or 6 cyclic algebras of degree . The main ingredients are th…