Computation of Galois groups associated to the 2-class towers of some quadratic fields
| dc.creator | Bush, Michael R. | |
| dc.date | 2001-10-24 | |
| dc.date.accessioned | 2026-07-07T04:44:11Z | |
| dc.date.available | 2026-07-07T04:44:11Z | |
| dc.description | The $p$-group generation algorithm from computational group theory is used to obtain information about large quotients of the pro-2 group $G = \text{Gal} (k^{nr,2}/k)$ for $k = \mathbb{Q}(\sqrt{d})$ with $d = -445, -1015, -1595, -2379$. In each case we are able to narrow the identity of $G$ down to one of a finite number of explicitly given finite groups. From this follow several results regarding the corresponding 2-class tower. This is a revised version of ANT-0302. | |
| dc.identifier | https://arxiv.org/abs/math/0110343 | |
| dc.identifier | http://arxiv.org/abs/math/0110343 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62536 | |
| dc.subject | Number Theory | |
| dc.title | Computation of Galois groups associated to the 2-class towers of some quadratic fields | |
| dc.type | text |