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 tool we study generic abelian crossed product p-algebras, proving among other things that the noncyclic generic abelian crossed product p-algebras defined by non-degenerate matrices are indecomposable p-algebras. To construct examples of these indecomposable p-algebras with exponent p and large index we study the relationship between degeneracy in matrices defining abelian crossed products and torsion in CH2 of Severi-Brauer varieties.
- Chow group
- Generic algebras
- Indecomposable division algebras
- Severi-Brauer varieties
- Valued division algebras