3 citations · 8 across the 19 of their papers we have counts for
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math.NT2016
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…
math.NT2016
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…
math.NT2016
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…