Mohamed Mahmoud Chems-Eddin, Moulay Ahmed Hajjami, Mohammed Taous
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Hilbert Genus Fields of Some Number Fields with High Degrees
The aim of this paper is to give some properties of Hilbert genus fields and construct the Hilbert genus fields of the fields \(L_{m,d}:=\mathbb {Q}(\zeta _{2^{m}},\sqrt {d})\), where m ≥ 3 is a positive integer and d is a square-free integer whose prime divisors are congruent to ± 3 (mod 8) or 9 (mod 16).
期刊介绍：
Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.
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