40 citations · 98 across the 35 of their papers we have counts for
48 papers
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…
Cyclic cubic number fields with harmonically balanced capitulation
Bill Allombert, Daniel C. Mayer
It is proved that c = 689347 = 31*37*601 is the smallest conductor of a cyclic cubic number field K whose maximal unramified pro-3-extension E = F(3,infinity,K) possesses an automo…
Theoretical and Experimental Approach to p-Class Field Towers of Cyclic Cubic Number Fields
Daniel C. Mayer
Cyclic number fields of odd prime degree are constructed as ray class fields over the rational number field. They are collected in multiplets sharing a common conductor and discrim…
Schur sigma-Groups of Scholz-Taussky Type F
Daniel C. Mayer
For finite metabelian 3-groups M with elementary bicyclic commutator quotient M/M' = C3*C3, coclass cc(M) in {4,6}, and transfer kernel type F, the smallest Schur sigma-groups S wi…
Algebraic number fields generated by an infinite family of monogenic trinomials
Daniel C. Mayer, Abderazak Soullami
For an infinite family of monogenic trinomials in , arithmetical invariants of the cubic number field , genera…
New perspectives of the power-commutator-structure: Coclass trees of CF-groups and related BCF-groups
Daniel C. Mayer
Let e>1 be an integer. Among the finite 3-groups G with bicyclic commutator quotient G/G' ~ C(3^e) * C(3), having one non-elementary component with logarithmic exponent e, there ex…