On the Iwasawa theory of p-adic Lie extensions
| dc.creator | Venjakob, Otmar | |
| dc.date | 2001-06-08 | |
| dc.date.accessioned | 2026-07-07T04:42:25Z | |
| dc.date.available | 2026-07-07T04:42:25Z | |
| dc.description | In this paper the new techniques and results concerning the structure theory of modules over non-commutative Iwasawa algebras are applied to arithmetic: we study Iwasawa modules over p-adic Lie extensions K of number fields k "up to pseudo-isomorphism". In particular, a close relationship is revealed between the Selmer group of abelian varieties, the Galois group of the maximal abelian unramified p-extension of K as well as the Galois group of the maximal abelian outside S unramified p-extension where S is a finite set of certain places of k. Moreover, we determine the Galois module structure of local units and other modules arising from Galois cohomology. | |
| dc.identifier | https://arxiv.org/abs/math/0106270 | |
| dc.identifier | http://arxiv.org/abs/math/0106270 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61772 | |
| dc.subject | Number Theory | |
| dc.title | On the Iwasawa theory of p-adic Lie extensions | |
| dc.type | text |