Minimum discriminants of imprimitive decic fields

Eric D. Driver; John Jones

doi:10.1080/10586458.2010.10390637

Minimum discriminants of imprimitive decic fields

Eric D. Driver, John Jones

Mathematical and Statistical Sciences, School of (SoMSS)

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

3 Scopus citations

Abstract

In this paper, we compute the minimum discriminants of imprimitive degree-10 fields for different combinations of Galois group and signature. We use class field theory when there is a quintic subfield, and a Martinet search in the more difficult case in which there is only a quadratic subfield.

Original language	English (US)
Pages (from-to)	475-479
Number of pages	5
Journal	Experimental Mathematics
Volume	19
Issue number	4
DOIs	https://doi.org/10.1080/10586458.2010.10390637
State	Published - 2010

Keywords

Global field
Minimum discriminiant
Number field

ASJC Scopus subject areas

General Mathematics

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10.1080/10586458.2010.10390637

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title = "Minimum discriminants of imprimitive decic fields",

abstract = "In this paper, we compute the minimum discriminants of imprimitive degree-10 fields for different combinations of Galois group and signature. We use class field theory when there is a quintic subfield, and a Martinet search in the more difficult case in which there is only a quadratic subfield.",

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language = "English (US)",

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AU - Driver, Eric D.

AU - Jones, John

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AB - In this paper, we compute the minimum discriminants of imprimitive degree-10 fields for different combinations of Galois group and signature. We use class field theory when there is a quintic subfield, and a Martinet search in the more difficult case in which there is only a quadratic subfield.

KW - Global field

KW - Minimum discriminiant

KW - Number field

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DO - 10.1080/10586458.2010.10390637

M3 - Article

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VL - 19

SP - 475

EP - 479

JO - Experimental Mathematics

JF - Experimental Mathematics

IS - 4

ER -

Minimum discriminants of imprimitive decic fields

Abstract

Keywords

ASJC Scopus subject areas

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