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

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Authors

TRNKOVÁ Veronika

Year of publication 2013
Type Article in Periodical
Magazine / Source Mathematica Slovaca
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.2478/s12175-012-0081-2
Field General mathematics
Keywords Stickelberger ideal; bicyclic field; class number
Description 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.
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