40 citations · 66 across the 8 of their papers we have counts for
8 papers
The strategy of pattern recognition via Artin transfers applied to finite towers of 2-class fields
Daniel C. Mayer
The isomorphism type of the Galois group of the 2-class field tower of quadratic number fields having a 2-class group with abelian type invariants (4,4) is determined by means of i…
Generalized Artin pattern of heterogeneous multiplets of dihedral fields and proof of Scholz's conjecture
Daniel C. Mayer
The concept of Artin transfer pattern for homogeneous multiplets of unramified cyclic prime degree p extensions $N…
Principalization of -class groups of type of biquadratic fields $\mathbb{Q}\left(\sqrt{\strut p_1p_2q},\sqrt{\strut -1}\right)$
Abdelmalek Azizi, Abdelkader Zekhnini, Mohammed Taous +1
Let be different primes such that $\displaystyle\left(\frac{2}{p_1}\right)= \displaystyle\left(\frac{2}{p_2}\right)=\displaystyle\left(\frac{…
Quadratic p-ring spaces for counting dihedral fields
Daniel C. Mayer
Let p denote an odd prime. For all p-admissible conductors c over a quadratic number field \(K=\mathbb{Q}(\sqrt{d})\), p-ring spaces \(V_p(c)\) modulo c are introduced by defining…
Normal lattice of certain metabelian p-groups G with \(G/G^\prime\simeq (p,p)\)
Daniel C. Mayer
Let p be an odd prime. The lattice of all normal subgroups and the terms of the lower and upper central series are determined for all metabelian p-groups with generator rank d=2 ha…
The second p-class group of a number field
Daniel C. Mayer
For a prime \(p\ge 2\) and a number field K with p-class group of type (p,p) it is shown that the class, coclass, and further invariants of the metabelian Galois group \(G=Gal(F_p^…