turkmath.org

In this talk, I will shortly explain how to use some cohomological results of Brumer Rosen and Zantema to obtain a four-term exact sequence, called ``BRZ’’  standing for these authors, which reveals some information about strongly ambiguous ideal classes (coinciding with relative Polya group) of a finite Galois extension of number fields. As an application of the BRZ, I will reprove some well known results in the literature. Then, as a minor modification on relative Polya group for a finite extension of number fields, I will
introduce the notion of ``relative Ostrowski quotient'' and  give some new approaches of the BRZ exact sequence. The main part of my talk is concerning a joint work with Ali Rajaei and Ehsan Shahoseini.