40 citations · 98 across the 35 of their papers we have counts for
5 papers · 1 filter
5-Class towers of cyclic quartic fields arising from quintic reflection
Abdelmalek Azizi, Yasuhiro Kishi, Daniel C. Mayer +2
Let zeta5 be a primitive fifth root of unity and d<>1 be a quadratic fundamental discriminant not divisible by 5. For the 5-dual cyclic quartic field M=Q((zeta5-zeta5^-1)*d^1/2) of…
Harmonically balanced capitulation over quadratic fields of type (9,9)
Daniel C. Mayer
The isomorphism type of the Galois group G of finite 3-class field towers of quadratic number fields with 3-class group of type (9,9) is determined by means of Artin patterns which…
Principal factors and lattice minima
Siham Aouissi, Abdelmalek Azizi, Moulay Chrif Ismaili +2
Let , where is a cube-free positive integer, be the cyclotomic field containing a primitive cube root o…
The strategy of pattern recognition via Artin transfers applied to finite towers of 2-class fields
Daniel C. Mayer
The isomorphism type of the Galois group of the 2-class field tower of quadratic number fields having a 2-class group with abelian type invariants (4,4) is determined by means of i…
Generalized Artin pattern of heterogeneous multiplets of dihedral fields and proof of Scholz's conjecture
Daniel C. Mayer
The concept of Artin transfer pattern for homogeneous multiplets of unramified cyclic prime degree p extensions $N…