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

In: Mathematica Slovaca, vol. 63, no. 1

Veronika Trnková

Detaily:

Rok, strany: 2013, 53 - 62

Kľúčové slová:

Stickelberger ideal, bicyclic field, class number

DOI: https://doi.org/10.2478/s12175-012-0081-2

O článku:

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.

Ako citovať:

ISO 690:

Trnková, V. 2013. An extended Stickelberger ideal of the compositum of a bicyclic field and an imaginary quadratic field. In Mathematica Slovaca, vol. 63, no.1, pp. 53-62. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0081-2

APA:

Trnková, V. (2013). An extended Stickelberger ideal of the compositum of a bicyclic field and an imaginary quadratic field. Mathematica Slovaca, 63(1), 53-62. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0081-2

O vydaní:

Publikované: 1. 2. 2013