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arXiv · 2004.08244

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

Abdelmalek Azizi·Mohammed Tamimi·Abdelkader Zekhnini
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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 Q(\sqrt{l}) with l congruent to 5 modulo 8 is a prime.

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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. https://arxiv.org/abs/2004.08244

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