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Quadratic Function Fields with Exponent Two Ideal Class Group

Victor Bautista-Ancona, Javier Diaz-Vargas

Published 2005-04-28Version 1

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.

Comments: To appear in the Journal of Number Theory
Categories: math.NT
Subjects: 11R11, 11R29, 11R42
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