English

The 2-rank of the class group of some real cyclic quartic number fields

Number Theory 2020-04-20 v1

Abstract

In this paper, we investigate the 2-rank of the class group of some real cyclic quartic number fields. Precisely, we consider the case where the quadratic subfield is Q(\sqrt{l}) with l congruent to 5 modulo 8 is a prime.

Keywords

Cite

@article{arxiv.2004.08244,
  title  = {The 2-rank of the class group of some real cyclic quartic number fields},
  author = {Abdelmalek Azizi and Mohammed Tamimi and Abdelkader Zekhnini},
  journal= {arXiv preprint arXiv:2004.08244},
  year   = {2020}
}