40 citations · 98 across the 35 of their papers we have counts for
7 papers · 1 filter
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^…
Transfers of metabelian p-groups
Daniel C. Mayer
Explicit expressions for the transfers \(V_i\) from a metabelian p-group G of coclass cc(G)=1 to its maximal normal subgroups \(M_i\) \((1\le i\le p+1)\) are derived by means of re…
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…