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Dergiler / Turkish Journal of Mathematics / 2021 / Cilt: 45 - Sayı: 3

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

Abdelkader ZEKHNINI, Mohamed TAMIMI, Abdelmalek AZIZI

Sayfa
1241–1269
DOI
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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( √ ℓ) with ℓ = 2 or a prime congruent to 1 (mod 8).