Reflexive Ideals in Iwasawa Algebras
| dc.creator | Ardakov, Konstantin | |
| dc.creator | Wei, Feng | |
| dc.creator | Zhang, James J. | |
| dc.date | 2007-10-02 | |
| dc.date.accessioned | 2026-07-07T08:33:39Z | |
| dc.date.available | 2026-07-07T08:33:39Z | |
| dc.description | Let $G$ be a torsionfree compact $p$-adic analytic group. We give sufficient conditions on $p$ and $G$ which ensure that the Iwasawa algebra $Ω_G$ of $G$ has no non-trivial two-sided reflexive ideals. Consequently, these conditions imply that every nonzero normal element in $Ω_G$ is a unit. We show that these conditions hold in the case when $G$ is an open subgroup of $\SL_2(\Zp)$ and $p$ is arbitrary. Using a previous result of the first author, we show that there are only two prime ideals in $Ω_G$ when $G$ is a congruence subgroup of $\SL_2(\Zp)$: the zero ideal and the unique maximal ideal. These statements partially answer some questions asked by the first author and Brown. | |
| dc.identifier | https://arxiv.org/abs/0710.0624 | |
| dc.identifier | http://arxiv.org/abs/0710.0624 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139206 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Number Theory | |
| dc.subject | 16L30, 16P40 | |
| dc.title | Reflexive Ideals in Iwasawa Algebras | |
| dc.type | text |