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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…
Asymptotic Brauer -Dimension
Adam Chapman, Kelly McKinnie
We define and compute , the asymptotic Brauer -dimension of a field , in cases where is a rational function field or Laurent series field. $\ope…
Essential Dimension, Symbol Length and -rank
Adam Chapman, Kelly McKinnie
We prove that the essential dimension of central simple algebras of degree and exponent over fields containing a base-field of characteristic is at l…
Essential Dimension of Generic Symbols in Characteristic p
Kelly McKinnie
In this article the -essential dimension of generic symbols over fields of characteristic is studied. In particular, the -essential dimension of the length generic…
Indecomposable p-algebras and Galois subfields in generic abelian crossed products
Kelly McKinnie
Let F be a Henselian valued field with char(F) = p and D a semi-ramified, "not strongly degenerate" p-algebra. We show that all Galois subfields of D are inertial. Using this as a…
Prime to p extensions of the generic abelian crossed product
Kelly McKinnie
We prove that the noncyclic generic abelian crossed product p-algebras constructed by Amitsur and Saltman remain noncyclic after tensoring by any prime to p extension.