Indecomposable p-algebras and Galois subfields in generic abelian crossed products
| dc.creator | McKinnie, Kelly | |
| dc.date | 2007-05-25 | |
| dc.date.accessioned | 2026-07-07T08:03:17Z | |
| dc.date.available | 2026-07-07T08:03:17Z | |
| dc.description | 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. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/0705.3860 | |
| dc.identifier | http://arxiv.org/abs/0705.3860 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129525 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 17A80; 17A35 | |
| dc.title | Indecomposable p-algebras and Galois subfields in generic abelian crossed products | |
| dc.type | text |