On rational functions with monodromy group $M_{11}$

Joachim König

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arXiv · 1503.06686

On rational functions with monodromy group $M_{11}$

Joachim König

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Abstract

We compute new polynomials with Galois group $M_{11}$ over $\mathbb{Q}(t)$. These polynomials stem from various families of covers of $\mathbb{P}^1\mathbb{C}$ ramified over at least 4 points. Each of these families has features that make a detailed study interesting. Some of the polynomials lead, via specialization, to number fields with very small discriminant or few ramified primes.

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Joachim König. 2015-12-14. On rational functions with monodromy group $M_{11}$. https://arxiv.org/abs/1503.06686

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