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

作者：Trnkova Veronika^*

来源：Mathematica Slovaca, 2013, 63(1): 53-62.

DOI：10.2478/s12175-012-0081-2

• Stickelberger ideal
• bicyclic field
• class number

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.

• 出版日期2013-2