Article ID Journal Published Year Pages File Type
4588000 Journal of Algebra 2008 21 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory