40 citations · 98 across the 35 of their papers we have counts for
5 papers · 2 filters
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…
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^…
Principalization algorithm via class group structure
Daniel C. Mayer
For an algebraic number field K with 3-class group \(Cl_3(K)\) of type (3,3), the structure of the 3-class groups \(Cl_3(N_i)\) of the four unramified cyclic cubic extension fields…
The distribution of second p-class groups on coclass graphs
Daniel C. Mayer
General concepts and strategies are developed for identifying the isomorphism type of the second p-class group \(G=Gal(F_p^2(K) | K)\), that is the Galois group of the second Hilbe…