FUSION SYSTEMS OVER A SYLOW p-SUBGROUP OF G2(p)
CHRIS PARKER AND JASON SEMERARO
Abstract. For S a Sylow p-subgroup of the group G2(p) for p odd, up to isomorphism of fusion
systems, we determine all saturated fusion systems F on S with Op(F) = 1. For p ̸= 7, all such
fusion systems are realized by finite groups whereas for p = 7 there are 29 saturated fusion systems
of which 27 are exotic.