Lightly ramified number fields with Galois group S.M12.A

David P. Roberts

doi:10.5802/jtnb.948

Lightly ramified number fields with Galois group S.M₁₂.A

David P. Roberts

Mathematics (Morris)

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

2 Scopus citations

Abstract

We specialize various three-point covers to find number fields with Galois group M₁₂, M₁₂.2, 2.M₁₂, or 2.M₁₂.2 and light ramification in various senses. One of our 2.M₁₂.2 fields has the unusual property that it is ramified only at the single prime 11.

Original language	English (US)
Pages (from-to)	435-460
Number of pages	26
Journal	Journal de Theorie des Nombres de Bordeaux
Volume	28
Issue number	2
DOIs	https://doi.org/10.5802/jtnb.948
State	Published - 2016

Bibliographical note

Publisher Copyright:
© Société Arithmétique de Bordeaux, 2016, tous droits réservés.

Keywords

Discriminant
Mathieu group
Number field
Ramification

Publisher link

10.5802/jtnb.948

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abstract = "We specialize various three-point covers to find number fields with Galois group M12, M12.2, 2.M12, or 2.M12.2 and light ramification in various senses. One of our 2.M12.2 fields has the unusual property that it is ramified only at the single prime 11.",

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KW - Discriminant

KW - Mathieu group

KW - Number field

KW - Ramification

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