Number fields with solvable Galois groups and small Galois root discriminants

Jones, John; Wallington, Rachel

doi:10.1090/S0025-5718-2011-02511-1

Number fields with solvable Galois groups and small Galois root discriminants
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by John W. Jones and Rachel Wallington;

Math. Comp. 81 (2012), 555-567

DOI: https://doi.org/10.1090/S0025-5718-2011-02511-1

Published electronically: June 3, 2011

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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 than $10$, groups of order less than $24$, and all dihedral groups $D_p$ where $p$ is prime.

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