Number fields with solvable galois groups and small galois root discriminants

John Jones; Rachel Wallington

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

Number fields with solvable galois groups and small galois root discriminants

John Jones, Rachel Wallington

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We apply class field theory to compute complete tables of number fields with Galois root discriminant less than 8πe ^γ. 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.

Original language	English (US)
Pages (from-to)	555-567
Number of pages	13
Journal	Mathematics of Computation
Volume	81
Issue number	277
DOIs	https://doi.org/10.1090/S0025-5718-2011-02511-1
State	Published - 2011

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

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10.1090/S0025-5718-2011-02511-1

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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 8πe γ. 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.",

author = "John Jones and Rachel Wallington",

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AU - Jones, John

AU - Wallington, Rachel

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AB - We apply class field theory to compute complete tables of number fields with Galois root discriminant less than 8πe γ. 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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JF - Mathematics of Computation

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ER -

Number fields with solvable galois groups and small galois root discriminants

Abstract

ASJC Scopus subject areas

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