posted on 2018-05-03, 09:23authored byChris Parker, Jason Semeraro
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 O p (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.
History
Citation
Mathematische Zeitschrift, 2017
Author affiliation
/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics