Indecomposable p-algebras and Galois subfields in generic abelian crossed products
Rings and Algebras
2007-05-29 v1
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 CH^2 of Severi-Brauer varieties.
Keywords
Cite
@article{arxiv.0705.3860,
title = {Indecomposable p-algebras and Galois subfields in generic abelian crossed products},
author = {Kelly McKinnie},
journal= {arXiv preprint arXiv:0705.3860},
year = {2007}
}
Comments
21 pages