BooksecrCollected Volumepp. 113–147

On the Galois module structure of minus class groups

  • Cornelius Greither

    Universität der Bundeswehr München, Munich, Germany

  • Takenori Kataoka

    Tokyo University of Science, Japan
On the Galois module structure of minus class groups cover
Download Chapter PDF

A subscription is required to access this book chapter.

Abstract

The main object of this paper is the minus class groups associated to CM-fields as Galois modules. In a previous article of the authors, we introduced a notion of equivalence for modules and determined the equivalence classes of the minus class groups. In this paper, we show a concrete application of this result. We also study how large a proportion of equivalence classes can be realized as classes of minus class groups.