The Mathieu group ${\mathsf{M}}_{12}$ vs $\mathbf{S}{\mathbf{L}}_3(3)$ in characteristic 3

Shigeo Koshitani, Tetsuro Okuyama

We prove that the principal $3$-blocks of the Mathieu group ${\mathsf{M}}_{12}$ and the special linear group $\SL_3(3)$ are splendidly Rickard equivalent, and hence derived equivalent,…