A Family of fusion systems related to the groups ${\mathrm{Sp}}_4(p^a)$ and ${\mathrm{G}}_2(p^a)$

Abstract

A family of exotic fusion systems generalizing the group fusion systems on Sylow $p$-subgroups of ${\mathrm{G}}_2(p^a)$ and ${\mathrm{Sp}}_4(p^a)$ is constructed.