Hyperbolicity of Orders of Quaternions Algebras and Group Rings
| dc.creator | Filho, S. O. Juriaans A. C. Souza | |
| dc.date | 2006-10-23 | |
| dc.date | 2007-04-19 | |
| dc.date.accessioned | 2026-07-07T07:57:14Z | |
| dc.date.available | 2026-07-07T07:57:14Z | |
| dc.description | For a given divison algebra of the quaternions we construct two types of units: Pell units and Gauss units. If K is a rational quadratic extension and G is a finite group, we classify R and G, s.t., the unit group U(RG) of augmentation one is hyperbolic. In particular we give necessary and sufficient conditions when G is the quaternion group of order 8. In this case, the hyperbolic boundary is isomorphic to the 2-dimensional sphere. As a result we reach a class of groups of one end, that are not virtually free. | |
| dc.description | This report is part of the first chapter of the second author's PhD. Thesis. It was included a result in main theorem and a sketch of its proof before it, as well as two new references | |
| dc.identifier | https://arxiv.org/abs/math/0610699 | |
| dc.identifier | http://arxiv.org/abs/math/0610699 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127572 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Group Theory | |
| dc.subject | 16S34;20C99 | |
| dc.title | Hyperbolicity of Orders of Quaternions Algebras and Group Rings | |
| dc.type | text |