Quadratic Function Fields with Exponent Two Ideal Class Group

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It has been shown by Madden that there are only finitely many quadratic extensions of k(x), k a finite field, in which the ideal class group has exponent two and the infinity place of k(x) ramifies. We give a characterization of such fields that allow us to find a full list of all such field extensions for future reference. In doing so we correct some errors in earlier published literature.
To appear in the Journal of Number Theory

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Number Theory, 11R11; 11R29; 11R42

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http://salesiana.dossiersoluciones.com/handle/123456789/75036

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504581
 http://arxiv.org/abs/math/0504581

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arXiv