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Quadratic function fields with exponent two ideal class group

✍ Scribed by Victor Bautista-Ancona; Javier Diaz-Vargas

Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 198 KB
Volume: 116
Category: Article
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2005.02.004

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✦ Synopsis

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.

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