Abdelmalek Azizi, Mohamed Mahmoud Chems-Eddin, Abdelkader Zekhnini
On some imaginary triquadratic number fields k with {\rm Cl}_2(k) \simeq (2, 4) or (2, 2, 2)

Abstract: Let d be a square free integer and L_d:=\mathbb{Q}(\zeta_{8},\sqrt{d}). In the present work we determine all the fields L_d such that the 2-class group, \mathrm{Cl}_2(L_d), of L_d is of type (2,4) or (2,2,2).

Keywords: 2-group rank; 2-class group; imaginary triquadratic number fields

DOI: DOI 10.14712/1213-7243.2021.008
AMS Subject Classification: 11R11 11R16 11R18 11R27 11R29