Classification of subgroups of symplectic groups over finite fields containing a transvection
In this note, we give a self-contained proof of the following classification (up to conjugation) of finite subgroups of GSpnpF`q containing a nontrivial transvection for ≥ 5, which can be derived from work of Kantor: G is either reducible, symplectically imprimitive or it contains SpnpF`q. This resu...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/47398 |
| Acceso en línea: | http://hdl.handle.net/11441/47398 https://doi.org/10.1515/dema-2016-0012 |
| Access Level: | acceso abierto |
| Palabra clave: | Sympletic group over a finite field Transvection Classification of subgroups of linear groups |
| Sumario: | In this note, we give a self-contained proof of the following classification (up to conjugation) of finite subgroups of GSpnpF`q containing a nontrivial transvection for ≥ 5, which can be derived from work of Kantor: G is either reducible, symplectically imprimitive or it contains SpnpF`q. This result is for instance useful for proving ‘big image’ results for symplectic Galois representations. |
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