Symplectic representations of inertia groups
| dc.creator | Silverberg, A. | |
| dc.creator | Zarhin, Yu. G. | |
| dc.date | 2000-09-02 | |
| dc.date.accessioned | 2026-07-07T04:37:08Z | |
| dc.date.available | 2026-07-07T04:37:08Z | |
| dc.description | Suppose $\ell$ is a prime number, $\ell >3$, $K$ is a field that is an unramified finite extension of the field $\Q_\ell$ of $\ell$-adic numbers, and $G$ is a finite group that is a semi-direct product of a normal $\ell'$-subgroup $H$ and a cyclic $\ell$-group $L$. Suppose that the group algebra $K[H]$ is decomposable. If there exists an embedding of $G$ in the symplectic group $\Sp_{2d}(K)$ for some positive integer $d$, then there exists an embedding of $G$ in $\Sp_{2d}({\mathcal O}_K)$, where ${\mathcal O}_K$ is the ring of integers of $K$. | |
| dc.description | LaTeX2e, 7 pages | |
| dc.identifier | https://arxiv.org/abs/math/0009024 | |
| dc.identifier | http://arxiv.org/abs/math/0009024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59848 | |
| dc.subject | Number Theory | |
| dc.subject | Group Theory | |
| dc.subject | 11E95; 11S23; 20C11; 20G25 | |
| dc.title | Symplectic representations of inertia groups | |
| dc.type | text |