Finite groups of units and their composition factors in the integral group rings of the groups $\text{PSL}(2,q)$
| dc.creator | Hertweck, Martin | |
| dc.creator | Höfert, Christian R. | |
| dc.creator | Kimmerle, Wolfgang | |
| dc.date | 2008-10-01 | |
| dc.date.accessioned | 2026-07-07T10:06:42Z | |
| dc.date.available | 2026-07-07T10:06:42Z | |
| dc.description | Let $G$ denote the projective special linear group $\text{PSL}(2,q)$, for a prime power $q$. It is shown that a finite 2-subgroup of the group $V(\mathbb{Z}G)$ of augmentation 1 units in the integral group ring $\mathbb{Z}G$ of $G$ is isomorphic to a subgroup of $G$. Furthermore, it is shown that a composition factor of a finite subgroup of $V(\mathbb{Z}G)$ is isomorphic to a subgroup of $G$. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/0810.0186 | |
| dc.identifier | http://arxiv.org/abs/0810.0186 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170415 | |
| dc.subject | Group Theory | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16S34, 16U60 (Primary) 20C05 (Secondary) | |
| dc.title | Finite groups of units and their composition factors in the integral group rings of the groups $\text{PSL}(2,q)$ | |
| dc.type | text |