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

Authors

ABDELMALEK AZIZI
MOHAMMED TAMIMI
ABDELKADER ZEKHNINI

DOI

10.3906/mat-2011-46

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 $\mathbb{Q}(\sqrt{\ell})$ with $\ell=2$ or a prime congruent to $1\,\pmod8$.

Keywords

Real cyclic quartic number field, $2$-rank, $2$-class group, quadratic fields, quartic extensios

First Page

1241

Last Page

1269

Recommended Citation

AZIZI, ABDELMALEK; TAMIMI, MOHAMMED; and ZEKHNINI, ABDELKADER (2021) "The $2$-rank of the class group of some real cyclic quartic number fields II," Turkish Journal of Mathematics: Vol. 45: No. 3, Article 10. https://doi.org/10.3906/mat-2011-46
Available at: https://journals.tubitak.gov.tr/math/vol45/iss3/10