Fusion systems over a Sylow p-subgroup of G2(p)

Christopher Parker, Jason Semeraro

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)
133 Downloads (Pure)


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.
Original languageEnglish
Pages (from-to)629–662
Number of pages34
JournalMathematische Zeitschrift
Issue number1-2
Early online date9 Nov 2017
Publication statusPublished - Jun 2018


  • groups of Lie type
  • fusion systems
  • exotic fusion systems


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