The 2-rank of the class group of some real cyclic quartic number fields II
Number Theory
2020-04-20 v1
Abstract
In this paper, we determine the 2-rank of the class group of certain classes of real cyclic quartic number fields. Precisely, we consider the case in which the quadratic subfield is Q(\sqrt{l}) with l=2 or a prime congruent to 1 mod 8.
Keywords
Cite
@article{arxiv.2004.08266,
title = {The 2-rank of the class group of some real cyclic quartic number fields II},
author = {Abdelmalek Azizi and Mohammed Tamimi and Abdelkader Zekhnini},
journal= {arXiv preprint arXiv:2004.08266},
year = {2020}
}