Abstract

We find the polynomials $P\in ℂ\left[X\right]$ of degree $\mathfrak{2}\mathfrak{3}$ such that the Galois group of $P\left(x\right)-t$ over $ℂ\left(t\right)$ is the Mathieu group $M_{\mathfrak{2}\mathfrak{3}}$. This completes the computation of polyomials $P$ for which the Galois group of $P\left(x\right)-t$ is among the exceptional groups listed by Müller.

Keywords

Mathematical Subject Classification 2010

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