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arXiv · 1602.09119

Mixed degree number field computations

John W. Jones·David P. Roberts
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Abstract

We present a method for computing complete lists of number fields in cases where the Galois group, as an abstract group, appears as a Galois group in smaller degree. We apply this method to find the twenty-five octic fields with Galois group $\textrm{PSL}_2(7)$ and smallest absolute discriminant. We carry out a number of related computations, including determining the octic field with Galois group $2^3{:}\textrm{GL}_3(2)$ of smallest absolute discriminant.

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John W. Jones, David P. Roberts. 2016-02-29. Mixed degree number field computations. https://arxiv.org/abs/1602.09119

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