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.
|Number of pages||34|
|Early online date||9 Nov 2017|
|Publication status||Published - Jun 2018|
- groups of Lie type
- fusion systems
- exotic fusion systems