Relative Polya Group and Polya Dihedral Extensions of Q

Abstract

We define the relative Polya group for a finite extension of number fields and prove triviality of the relative Polya group for the Hilbert class field. Then we generalize our previous results on Polya S3-extensions of Q to some dihedral extensions of Q.

References in corpus (2)

• From Polya fields to Polya groups: (I) Galoisian extensions
• From Polya fields to Polya groups, (II) non-galoisian number fields