Quadratic function fields with exponent two ideal class group

JOURNAL OF NUMBER THEORY

卷:116

Article

Bautista-Ancona, V ; Diaz-Vargas, J

关键词: function field;    divisor class group;    ideal class group;    class number;   

DOI  :  10.1016/j.jnt.2005.02.004

来源: Elsevier

【 摘 要 】

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. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free