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Mathematics Publications

2004

Normal subgroup

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Nonic 3-Adic Fields, John W. Jones, David P. Roberts Jan 2004

Nonic 3-Adic Fields, John W. Jones, David P. Roberts

Mathematics Publications

We compute all nonic extensions of Q3 and find that there are 795 of them up to isomorphism. We describe how to compute the associated Galois group of such a field, and also the slopes measuring wild ramification. We present summarizing tables and a sample application to number fields.

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