5 papers · 1 filter
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…
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…
Group theory of cyclic cubic number fields
Daniel C. Mayer, Siham Aouissi, Bill Allombert +1
Astonishing new discoveries with quartets and octets of cyclic cubic fields sharing a common conductor are presented. Four kinds of graphs describing cubic residue conditions among…
Group theoretic approach to cyclic cubic fields
Siham Aouissi, Daniel C. Mayer
Let (k1,k2,k3,k4) be a quartet of cyclic cubic number fields sharing a common conductor c=pqr divisible by exactly three prime(power)s p,q,r. For those components k of the quartet…
-Principalization over -fields
Siham Aouissi, Mohamed Talbi, Daniel C. Mayer +1
Let be a prime number and be a primitive cube root of unity. Then is a pure metacyclic field with grou…