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arXiv · 2004.08266

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

Abdelmalek Azizi·Mohammed Tamimi·Abdelkader Zekhnini
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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.

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Abdelmalek Azizi, Mohammed Tamimi, Abdelkader Zekhnini. 2020-04-17. The 2-rank of the class group of some real cyclic quartic number fields II. https://arxiv.org/abs/2004.08266

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