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4 papers
The -invariant and the Symbol Length of
Adam Chapman, Kelly McKinnie
Given a field of , we define to be the maximal dimension of an anisotropic form in . For it recaptures the definition of $u(F)…
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.