40 citations · 98 across the 35 of their papers we have counts for
4 papers · 1 filter
Construction and classification of p-ring class fields modulo p-admissible conductors
Daniel C. Mayer
Each p-ring class field K(f) modulo a p-admissible conductor f over a quadratic base field K with p-ring class rank r(f) mod f is classified according to Galois cohomology and diff…
Finite non-metabelian Schur sigma-Galois groups of class field towers
Daniel C. Mayer
For each odd prime p>=5, there exist finite p-groups G with derived quotient G/D(G)=C(p)xC(p) and nearly constant transfer kernel type k(G)=(1,2,...,2) having two fixed points. It…
Schur sigma-groups with abelian quotient invariants (9,3)
Daniel C. Mayer
By the construction of suitable non-metabelian Schur sigma-groups S of type (9,3) with log order lo(S) = 21 and nilpotency class cl(S) = 9, evidence is provided of a new class of i…
Extremal root paths of Schur \(σ\)-groups and first \(3\)-class field towers with four stages
Daniel C. Mayer
An extremal property of finite Schur sigma-groups G is described in terms of their path to the root in the descendant tree of their abelianization G/G'. The phenomenon is illustrat…