Beauville $p$-groups of wild type and groups of maximal class

Gustavo A. Fernández-Alcober, Norberto Gavioli, Şükran Gül +1

Let $G$ be a Beauville finite $p$-group. If $G$ exhibits a `good behaviour' with respect to taking powers, then every lift of a Beauville structure of $G/\Phi (G)$ is a Beauville struc…