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.