DOI: 10.1515/ms-2023-0061 ISSN: 1337-2211

The 2-Class Group of Certain Families of Imaginary Triquadratic Fields

Mohamed Mahmoud Chems-Eddin, Lhoussain El Fadil
  • General Mathematics
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ABSTRACT

Our goal in this paper is to compute the 2-rank of the class group of the fields

K = ℚ ( − 2 , q , d ) \[\mathbb{K}=\mathbb{Q}\left( \sqrt{-2},\sqrt{q},\sqrt{d} \right)\]
for any odd positive squarefree integer d and any prime integer q ≡ 5 (mod 8). Furthermore, we give the list of these fields whose 2-class groups are trivial, cyclic, of type (2, 2), (2, 4) or (2, 2, 2).

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