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Galois Theory, discriminants and torsion subgroups of elliptic curves

 

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Opened Access Galois Theory, discriminants and torsion subgroups of elliptic curves
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Author: García Selfa, Irene
González Jiménez, Enrique
Tornero Sánchez, José María
Department: Universidad de Sevilla. Departamento de álgebra
Date: 2010-08
Published in: Journal of Pure and Applied Algebra, 214 (8), 1340-1346.
Document type: Article
Abstract: We find a tight relationship between the torsion subgroup and the image of the mod 2 Galois representation associated to an elliptic curve defined over the rationals. This is shown using some characterizations for the squareness of the discriminant of the elliptic curve.
Cite: García Selfa, I., González Jiménez, E. y Tornero Sánchez, J.M. (2010). Galois Theory, discriminants and torsion subgroups of elliptic curves. Journal of Pure and Applied Algebra, 214 (8), 1340-1346.
Size: 172.8Kb
Format: PDF

URI: http://hdl.handle.net/11441/41955

DOI: http://dx.doi.org/10.1016/j.jpaa.2009.11.001

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