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

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/131/0007

• # Keywords

Real cyclic quartic number field; 2-rank; 2-class group; quadratic fields.

• # 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 $\mathbb{Q}\sqrt \mathcal{l}$ with $\mathcal{l} \equiv 5(\mod 8)$ is a prime.

• # Author Affiliations

1. Mathematics Department, Sciences Faculty, Mohammed First University, Oujda, Morocco

• # Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019