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Imaginary quadratic fields with noncyclic ideal class groups

โœ Scribed by Dongho Byeon


Publisher
Springer US
Year
2006
Tongue
English
Weight
157 KB
Volume
11
Category
Article
ISSN
1382-4090

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Quadratic function fields with exponent
โœ Victor Bautista-Ancona; Javier Diaz-Vargas ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 198 KB

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 extensi