Preprint
Aug 2026
The Mathieu group $M_{23}$ is a Galois group over $\mathbb{Q}$
Researchers studying the inverse Galois problem realized 25 of the 26 sporadic finite simple groups as Galois groups over $\mathbb{Q}$ during 1984--1989. We complete this program by proving that the last remaining sporadic group, the Mathieu group $M_{23}$, occurs as a Galois group over $\mathbb{Q}$. In fact, we produc...
Xiaoyu Huang, Blake Jackson, Kyu-Hwan Lee et al.
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