2 papers
math.NT2025
Coclass of the second 3-class group
Siham Aouissi, Daniel C. Mayer
By means of parametrized presentations of finite metabelian 3-groups, it is proved that the coclass cc(M) of the second 3-class group M=Gal(F_3^2(K)/K) of any algebraic number fiel…
math.NT2025
The Capitulation Problem in Certain Pure Cubic Fields
Siham Aouissi, Daniel C. Mayer
Let \(Î=\mathbb{Q}(\sqrt[3]{n})\) be a pure cubic field with normal closure \(k=\mathbb{Q}(\sqrt[3]{n},ζ)\), where \(n>1\) denotes a cube free integer, and \(ζ\) is a primitive…