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Turkish Journal of Mathematics

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 $1\,\pmod8$.

First Page

1241

Last Page

1269

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Mathematics Commons

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