English

Relative Polya Group and Polya Dihedral Extensions of Q

Number Theory 2019-05-31 v3

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.

Keywords

Cite

@article{arxiv.1807.04744,
  title  = {Relative Polya Group and Polya Dihedral Extensions of Q},
  author = {Ali Rajaei and Abbas Maarefparvar},
  journal= {arXiv preprint arXiv:1807.04744},
  year   = {2019}
}