Octic 2-adic fields

John W. Jones; David P. Roberts

doi:10.1016/j.jnt.2007.12.014

Octic 2-adic fields

John W. Jones, David P. Roberts

Mathematics (Morris)

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

15 Scopus citations

Abstract

We compute all octic extensions of Q₂ and find that there are 1823 of them up to isomorphism. We compute the associated Galois group of each field, slopes measuring wild ramification, and other quantities. We present summarizing tables here with complete information available at our online database of local fields.

Original language	English (US)
Pages (from-to)	1410-1429
Number of pages	20
Journal	Journal of Number Theory
Volume	128
Issue number	6
DOIs	https://doi.org/10.1016/j.jnt.2007.12.014
State	Published - Jun 2008

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10.1016/j.jnt.2007.12.014

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title = "Octic 2-adic fields",

abstract = "We compute all octic extensions of Q2 and find that there are 1823 of them up to isomorphism. We compute the associated Galois group of each field, slopes measuring wild ramification, and other quantities. We present summarizing tables here with complete information available at our online database of local fields.",

author = "Jones, {John W.} and Roberts, {David P.}",

year = "2008",

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AU - Roberts, David P.

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JO - Journal of Number Theory

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Octic 2-adic fields

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