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math.RA2007★ 1 cited
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…
math.RA2007
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.