Title: Number fields with solvable Galois groups and small Galois root discriminants
Abstract:We apply class field theory to compute complete tables of number fields with Galois root discriminant less than $8\pi e^{\gamma }$. This includes all solvable Galois groups which appear in degree less...We apply class field theory to compute complete tables of number fields with Galois root discriminant less than $8\pi e^{\gamma }$. This includes all solvable Galois groups which appear in degree less than $10$, groups of order less than $24$, and all dihedral groups $D_p$ where $p$ is prime.Read More