Said Essahel, Ali Mouhib, "On the Metacyclicity of the Hilbert 2-Class Field Tower of Imaginary," WSEAS Transactions on Mathematics, vol. 21, pp. 279-284, 2022, DOI:10.37394/23206.2022.21.33
Said Essahel, Ali Mouhib. On the Metacyclicity of the Hilbert 2-Class Field Tower of Imaginary.
WSEAS Transactions on Mathematics. 2022;21:279-284. 10.37394/23206.2022.21.33
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 21, 2022
On the Metacyclicity of the Hilbert 2-Class Field Tower of Imaginary
Authors: ,
Abstract: Let d be a square-free integer <0. In this paper, we will determine all imaginary quadratic
number fields $$\mathbb{Q}(\sqrt{d})$$ that have a metacyclic Hilbert 2-class field tower. Finally, we will numerically
validate our theoretical results.
Pages: 279-284 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 21, 2022, Art. #33 DOI: 10.37394/23206.2022.21.33
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