Simplicity of fusion systems of finite simple groups

Bob Oliver, Albert Ruiz

Research output: Contribution to journalArticleResearchpeer-review

Abstract

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
Volume374
Issue number11
DOIs
Publication statusPublished - 2 Jul 2021

Keywords

  • Automorphisms
  • Finite simple groups
  • Fusion systems

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