Article
Classification of subgroups of symplectic groups over finite fields containing a transvection
Author/s | Arias de Reyna Domínguez, Sara
Dieulefait, Luis Víctor Wiese, Gabor |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2016-06 |
Deposit Date | 2016-10-13 |
Published in |
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Abstract | 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 ... 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. |
Project ID. | info:eu-repo/grantAgreement/MINECO/MTM2012-33830
1489 INTER/DFG/12/10COMFGREP |
Citation | Arias de Reyna Domínguez, S., Dieulefait, L.V. y Wiese, G. (2016). Classification of subgroups of symplectic groups over finite fields containing a transvection. Demonstratio Mathematica, 49 (2), 129-148. |
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