Centres of skewfields and completely faithful Iwasawa modules
| dc.creator | Ardakov, Konstantin | |
| dc.date | 2007-10-29 | |
| dc.date.accessioned | 2026-07-07T08:39:15Z | |
| dc.date.available | 2026-07-07T08:39:15Z | |
| dc.description | Let H be a torsionfree compact p-adic analytic group whose Lie algebra is split semisimple. We show that the quotient skewfield of fractions of the Iwasawa algebra Λ_H of H has trivial centre and use this result to classify the prime c-ideals in the Iwasawa algebra Λ_G of G := H \times \Zp. We also show that a finitely generated torsion Λ_G-module having no non-zero pseudo-null submodule is completely faithful if and only if it is has no central torsion. This has an application to the study of Selmer groups of elliptic curves. | |
| dc.identifier | https://arxiv.org/abs/0710.5472 | |
| dc.identifier | http://arxiv.org/abs/0710.5472 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141007 | |
| dc.subject | Number Theory | |
| dc.subject | 11G05, 11R23, 12E15, 16D70 | |
| dc.title | Centres of skewfields and completely faithful Iwasawa modules | |
| dc.type | text |