Imaginary quadratic function fields with ideal class group of prime exponent

JOURNAL OF NUMBER THEORY

卷:173

Article

Bautista-Ancona, Victor¹  Diaz-Vargas, Javier¹  Lara Rodriguez, Jose Alejandro¹ 

[1] Univ Autonoma Yucatan, Fac Matemat, Tablaje 13615,Apartado Postal 172, Merida 97199, Yucatan, Mexico

关键词: Ideal class group;    Imaginary quadratic extension;    Function fields;    Exponent;   

DOI  :  10.1016/j.jnt.2016.09.021

来源: Elsevier

【 摘 要 】

For K, an imaginary quadratic extension of a rational function field over a finite field, in which the infinite place ramifies, we give necessary conditions (illustrating for exponent three) for the ideal class group to have odd prime exponent. For exponent two we classify all such extensions, taking this opportunity to complete the list that we previously had. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free