Simplicity of fusion systems of finite simple groups

Bob Oliver, Albert Ruiz

Research output: Contribution to journalArticleResearchpeer-review


We determine for which known finite simple groups G and which primes p the p-fusion system of G is simple. This means first collecting together the results that were already known (and correcting two errors made in an earlier study of this question), and then handling the remaining cases. At the same time, we develop some new tools to use when determining Op'(F) for arbitrary saturated fusion systems.

Original languageEnglish
Pages (from-to)7743-7777
Number of pages35
JournalTransactions of the American Mathematical Society
Issue number11
Publication statusPublished - 2 Jul 2021


  • Automorphisms
  • Finite simple groups
  • Fusion systems


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