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most citedThe Capitulation Problem in Certain Pure Cubic Fields

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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★ 1 cited

The Capitulation Problem in Certain Pure Cubic Fields

Siham Aouissi, Daniel C. Mayer

Let \(Γ=\mathbb{Q}(\sqrt[3]{n})\) 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 cub…