Turkish Journal of Mathematics
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 $1\,\pmod8$.
DOI
10.3906/mat-2011-46
Keywords
Real cyclic quartic number field, $2$-rank, $2$-class group, quadratic fields, quartic extensios
First Page
1241
Last Page
1269
Recommended Citation
AZIZI, A, TAMIMI, M, & ZEKHNINI, A (2021). The $2$-rank of the class group of some real cyclic quartic number fields II. Turkish Journal of Mathematics 45 (3): 1241-1269. https://doi.org/10.3906/mat-2011-46
