The Möbius function of $\mathrm{PSL}(3,2^p)$ for any prime $p$

Martino Borello, Francesca Dalla Volta, Giovanni Zini

Let $G$ be the simple group $\mathrm{PSL}(3,2^p)$, where $p$ is a prime number. For any subgroup $H$ of $G$, we compute the Möbius function of $H$ in the subgroup lattice of $G$. To t…