An extended Stickelberger ideal of the compositum of a bicyclic field and an imaginary quadratic field

Mathematica Slovaca

Veronika Trnková¹ 

关键词: Stickelberger ideal;    bicyclic field;    class number;   

DOI  :  10.2478/s12175-012-0081-2

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

We consider certain extension of the Stickelberger ideal of the compositum of a bicyclic field and a quadratic imaginary field, obtained by adding new annihilators to the Stickelberger ideal. We compute the index of this extension, from which we get some divisibility properties for the relative class number of the compositum.

【 授权许可】

Unknown