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

2020/04/17 by Azizi, Abdelmalek, Tamimi, Mohammed, Zekhnini, Abdelkader
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2004.08266

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(√(l)) with l=2 or a prime congruent to 1 mod 8.

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