Imaginary quadratic function fields

JOURNAL OF NUMBER THEORY

卷:130

Article

Diaz-Vargas, Javier¹  Pompeyo-Gutierrez, Carlos¹ 

[1] Univ Autonoma Yucatan, Fac Matemat, Merida 13615, Yucatan, Mexico

关键词: Function fields;    Divisor class group;    Ideal class group;    Class number;   

DOI  :  10.1016/j.jnt.2009.09.014

来源: Elsevier

【 摘 要 】

In Bautista-Ancona and Diaz-Vargas (2006) [B-D] a characterization and complete listing is given of the imaginary quadratic extensions K of k(x), where k is a finite field, in which the ideal class group has exponent two and the infinite prime of k(x) ramifies. The objective of this work is to give a characterization and list of these kind of extensions but now considering the case in which the infinite prime of k(x) is inert in K. Thus, we get all the imaginary quadratic extensions of k(x), in which the ideal class group has exponent two. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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