40 citations · 98 across the 35 of their papers we have counts for
5 papers · 1 filter
Recent progress in determining p-class field towers
Daniel C. Mayer
For a fixed prime p, the p-class tower F(p,infinity,K) of a number field K is considered to be known if a pro-p presentation of the Galois group H = Gal( F(p,infinity,K)/K ) is giv…
p-Capitulation over number fields with p-class rank two
Daniel C. Mayer
Theoretical foundations of a new algorithm for determining the p-capitulation type kappa(K) of a number field K with p-class rank rho=2 are presented. Since kappa(K) alone is insuf…
Three stage towers of 5-class fields
Daniel C. Mayer
With K=Q((3812377)^(1/2)) we give the first example of an algebraic number field possessing a 5-class tower of exact length L(5,K)=3. The rigorous proof is conducted by means of th…
Annihilator ideals of two-generated metabelian p-groups
Daniel C. Mayer
For a metabelian p-group G = <x,y> with two generators x and y, the annihilator A < Z[X,Y] of the main commutator [y,x] of G, as an ideal of bivariate polynomials with integer coef…
Criteria for three-stage towers of p-class fields
Daniel C. Mayer
Let p be a prime and K be a number field with non-trivial p-class group Cl(p,K). A crucial step in identifying the Galois group G=G(p,K) of the maximal unramified pro-p extension o…