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arXiv · 1404.0429

Lightly ramified number fields with Galois group $S.M_{12}.A$

David P. Roberts
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Abstract

We specialize various three-point covers to find number fields with Galois group $M_{12}$, $M_{12}.2$, $2.M_{12}$, or $2.M_{12}.2$ and light ramification in various senses. One of our $2.M_{12}.2$ fields has the unusual property that it is ramified only at the single prime $11$.

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David P. Roberts. 2014-04-02. Lightly ramified number fields with Galois group $S.M_{12}.A$. https://arxiv.org/abs/1404.0429

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